solve for x, what is xsquared + 4x + 4 = 7?
825052
The first step would be to try to factor the equation, so you'd want to get all of the terms on the left side of the equation:\nx^2 + 4x -3 = 0\n\nSince this won't easily factor, you need to use a different method.  I'm sure someone will suggest the quadratic equation, which is fine _if you can remember it_.  I much prefer an alternate method, "completing the square," because it's intuitive enough that you can remember how to work out the process even if you forget the steps.\n\n1. Start by moving the constant to the right side of the equation:\nx^2 + 4x = 3\n\n2. Then divide the coefficient of x (in this case, 4) by two and square it, adding it to both sides of the equation:\nx^2 + 4x + 4 = 7\n\n3. Factor the left side of the equation to (x + a)^2, where 'a' will be the number you just squared:\n(x + 2)^2 = 7\n\n4. Take the square root of both sides, remembering that you'll have both a positive and a negative root:\nx + 2 = +/- (sqrt)7\n\n5. Move the constant on the left to the right, and you have your two solutions:\nx = -2 +/- (sqrt)7
720929
Let me just work through the steps to solve the problem:\n\nsqrt(2x^2-1)=x   <---Original Equation\n2x^2-1=x         <---Square both sides\n2x^2-x-1=0       <---Subtract x\n\nNow, apply the quadradic equation:\nx=(-b+/-(sqrt(b^2-4ac))/(2a)\n\nFor this equation, the equation is:\nx=(-(-1)+/-(sqrt((-1^2)-4*2*(-1))/(2*(2))\n\nSimplified it is:\nx=(1+/-sqrt(1+8))/(4)\nx=(1+3)/4 or x=(1-3)/4\n\nSo, x=1 or x=-1/2
65662
the above answer is wrong.\n\n( x^2 + 7x - 4 ) + ( x^2 + 9 ) = x^2 + x^2 + 7x -4 +9\n= 2x^2 + 7x + 5
363348
Are we solving for x?
66565
You cannot "solve" this because it is not an equation.  An equation has two parts that are joined by the symbol =.  However, in early pre-Algebra classes, they might ask you to simplify this, meaning, to write this expression so that the "x" only appears once with its coefficient and the rest of the numerical values are also combined.  For this, you add all of the coefficients of x (3+1 - invisible coefficient before the second appearance of x) to find that you have 4x.  Next, you add the -8 and 4, which you can then express as either adding negative four or as subtracting four (if you need help here, consider the number line, move eight spaces to the left of zero, then move four spaces to the right).  Thus, you can re-write the expression as 4x-4.  Look in your textbook before the problems for a better example of what exactly they are expecting you to do in that section.
941825
First, check for rational roots. If this doesn't have\nany we are in trouble, but fortunately it does have some.\nIf r/s is a rational root of this equation, then r must\ndivide -35 and s must divide 2.\nBy trial we find that -1 is  a root of this equation,\nand so x + 1 is a factor. But x+1 is also a root\nof the quotient, so x+1 is a double root.\nNow work on the resulting cubic.\nWe  find that x = 5/2 is one of its roots.\nThe final quadratic is\nx² - 4x + 7 = 0\nwhich you can now solve by the quadratic formula.\nHope that helps a bit!
822098
2x - 7 = -4x - 1\n\nFirst, add 4x to both sides\n\n2x + 4x -7 = -1\n\nAdd like terms\n\n6x -7 = -1\n\nAdd 7 to both sides\n\n6x = 6\n\nDivide both sides by 6\n\nx = 1
919399
6(x+4)-2x=-8\n6x+24-2x=-8\n6x-2x+24+8=0\n4x+32=0\n4x=-32\nx=-32/4\nx=-8
998890
If you mean to solve it, it would be this:\nF:xtimesx=x^2\nO:xtime6.5\nI:xtimes-4.5\nL:-4.5times6.5\nEquals:x^2+2x-29.25
786009
-2(x-3) + 4(x+7)\n-2x+6   +4x+28\n2x+34
388795
Noooooooooooo\n\nOk...you have to solve two equations.\n\nFIRST ONE\n\nif (4-7x) = -8\n\nthen 4-7x+8 = 0 (by adding 8 to both sides of the equation)\n\nthus 12-7x = 0 (obviously)\n\nthen 12 = 7x (by adding 7x to both sides of the equation)\n\nso x = 12/7\n\nok ?\n\nSECOND ONE\n\nif -(4-7x) = -8\n\nthen -4+7x = -8 (obviously...see that -*- = +)\n\nso 7x = -4 (by adding 4 to both sides of the equation)\n\nso....x = -4/7\n\nFINAL ANSWER IS....x=12/7 or x=-4/7\n\nI hope that is an available answer.\n\nIf so, I'm glad that I could save you from getting your homework question wrong.
894689
-4x=28\ndivide both sides of the equation by -4 to get:\nx=-7
712395
9x+5/(x-4)+(-7x)/(x-4)\n=9x+5-7x/(x-4)\n=(2x+5)/(x-4)
725272
Take half of the coefficient of the x term, which comes to 7/2.\nSquare that, which comes to 49/4.\n(x + 7/2)^2 = x^2 +7x + 49/4
1151963
Yes it is\nX+7=11\n  -7    -7\nX=4
208014
Factorising gives\n\n(x-4)(x+1) = 0\n\nThe solutions are therefore x = +4 and -1
117698
so that x=4+ or - 3i\nthen transpose 4 to left\nx-4=+/- 3i square both sides\nthat's x^2-8x+16=-9\ntranspose -9 to left side\nx^2-8x+25=0