(1/2+3x)+(2/2-3x)=0\n\n\nok i know i have to get a common denominator so that would be(2+3x)*(2-3x) and when i work it all out i get x=-2 but when i check it it doesnt work out.... am i doing something wrong...... can someone walk me through it?
205680
The answer is X = -2\n\nYou were right the first time.  You just made a calculation mistake when you tried to check it.\n\nHere's the check I got (I entered periods as spacers):\n\n_1_...+..._2_....=....0\n2+3x......2-3x  \n\n___1__...+...___2__....=....0\n2+3(-2).........2-3(-2)\n\n_1_...+..._2_....=....0\n2-6........2+6\n\n_1_...+..._2_...=...0\n-4...........+8\n\n_1_...+.._1_...=...0\n-4..........+4\n\n0...=...0\n\nTo get to the x = -2, we do what you did with (2 + 3x)(2 - 3x) as the common denominator.  When we multiply it out (multipying the common denominator to both sides of the equation), we get:\n\n2 -3x + 4 + 6x = 0\n6 + 3x = 0\n3x = -6\nx = -2\n\nYou asked a question above about the result of multiplying the common denominator to the right half of the equation.  Of course, multiplying anything times "0" always equals "0".  Right?\n\nGood luck!
315276
(x+4)/[(3x-1)(3x+1)]-\n(x-2)/(3x+1)=\n\n[(x+4)-(3x-1)(x-2)]/\n[(3x-1)(3x+1)]=\n\n[x+4-3x^2+6x+x-2]/\n[9x^2-1]=\n\n[-3x^2+8x+2]/[9x^2-1]
409208
ill give it a shot - im not sure , anyways i got 2 answers..\n\n(1st)\n\n(3-x)x+2 = 2 (x^2-2)\n\n3x-x^2+6-2x = 2x^2-4\n\nx-x^2+6 = 2x^2-4\n\nx-1/x+6 = 2/x-4\n\nx-1+6x = 2-4x\n\nx+4x+6x = 2+1\n\n11x = 3\n\nx = 3/11\n\n\n(2nd possible answer)\n\n\n(3-x)x+2 = 2 (x^2-2)\n\n3x-x^2+6-2x = 2x^2-4\n\nx-x^2+6 = 2x^2-4\n\nx-1/x+6 = 2/x-4\n\nx-1+6/x = 2-4/x\n\n-5 = -2/x\n\n-5x = -2\n\nx = -2+5\n\nx = 3
109099
I'm assuming you're new to algebra, so I'll do it the long way....\n\nSubtract 3 from both sides:\n\n1/2x + 3 - 3 = 9 - 3\n\n1/2x = 6\n\nMultiply both sides by 2\n\n1/2x * 2 = 6 * 2\n\nx = 3\n\nRemember, whatever you do to one side of the equation you need to do to the other side.
315513
6x - 4x -3x = 5x becomes 6x - (4x -3x) = 5x\n6x - 4x -3x=`x I'm not sure about this one.  Is it supposed to be 6x - 4x -3x = -x? then it would be (6x-4x) - 3x = -x\n7 + 5p - p = 11p becomes (7 + 5)p - p = 11p\n7 + 5p - p = 7 becomes 7 + 5(p - p) = 7\n7 + 5p - p = 7 + 4p becomes 7 + (5p - p) = 7 + 4p\nYou do not actually need parentheses for the previous one.\n7 + 5p - p = 0 I cannot figure this one out.  Is something typed wrong?
382574
3x^2-5X-2=0 \n(3x+1)(x-2)=0\n3x+1=0\n x=-1/3\n\nx-2=0\nx=2
600186
(5x+2)/3 -(2x+4)/6 = -4/3\n\nMultiply everything by 6:\n\n10x + 4 - (2x+4) = -8\n10x + 4 - 2x - 4 = -8\n8x = -8\nx = -1
255860
(FYI, on question 1, if x+3 is in the denominator, you should write it as x/(x+3), otherwise it is 1+3.  I have assumed that all of your denominators are written incorrectly.)\n\n1. cross multiply (x=6)\n2. set denominator = zero  (x=5)\n3. set denominator = zero  (x = -2)\n4. set it up like a long division or factor  (x+6)\n5. if you divide area by width you get length (L = 2x-3)\n6. multiply everything by x and solve. (x = 3)\n7. multiply everything by x and solve (x = 8)\n8. multiply everything by x^2+x and solve (x = 1 and 2)\n9. develop and equation where y = a*x  (y = (1/3)*x)\n\nFYI, the guy below me is wrong whenever his answer disagrees with mine.  For example, look at number 9. y=3*x would mean that if x = 12 then y = 36.  This is wrong!  My answers are correct.
420193
(3x^2 + 5x + 1) / (4x-1) =\n\n3x^2 + 5x + 1/ 1  multiply to  1/ 4x - 1\n\nthe answer might be the same as the problem unless you want to derive it.\n\nthanks though
31371
x = (1/3)y + 2\n-2x - y = 1\n\nTake the first equation, and plug its value of x into the second eq.\n\n-2[(1/3)y+2] - y = 1\n\nSimplify\n\n(-2/3)y - 4 - y = 1\n\n(-2/3)y - y = 5\n\n(-5/3)y = 5\n\ny = -3\n\nUsing the value of y, solve for x.\n\nx = (1/3)(-3) + 2\nx = (-1) + 2\nx = 1\n\nSo, the ANSWER is x=1 & y=-3
623121
Check the problem again.  It doesn't simplify much ... I would have expected the terms with e^-x to either both be subtracted or added to one, not having the diferent signs you show.\n\nIt's not zero even how you have it written.  If x=0, the result is (1+1)(1+1)- (1+1)(1-1)/(1+1)^2.  Or 4 - 0 = 4.  The answer isn't 4 either (for all x).
632495
3x = 2x - 2\nx = -2\ny = 3(-2) = -6\nAnswer: (-2,-6)
224961
x=\n3x-3+2x=5x-6-x\n3x+2x-5x+x=-6+3\n1x=-3\nx=-3&#92;1\nx=-3
501565
X = 0\n\n2/3 (6x + 3) = 4x + 2\n12x + 6/ 3  = 4x + 2 ( i multiplied the 6x and 3 to 2)\n4x + 2 = 4x + 2 (then divide 12x and 6 with 3)\n4x - 4x = 2 -2 (i moved the number with 'X' to the left and constant to the right, and change signs)\nthen, x = 0\n\nby checking it, you'll just have to apply the value of 'X', and the answer should be equal (2 = 2)
177058
if x = 1 then\n\n3 - 12 x 3 + 4 - 4 = 27\n\nbasically depends on what is x??\n\nor suppose it goes like this?\n\n9 - 24 x 6 + 4x - 4 = still need to know what x is...\n\nif x = 1 then the answer is -90\n\nYou really must clarify what x is...thanks!!!
540238
The second option is right.\n3x^(-2) = 1/3x^2
486541
I'm not sure what you mean by ***, so I'll answer the second part of your question.\n\n-4x/-4x + 12/-4x = 1 - 3/x