can someone help w/this.5xsquared - 3x - 2 = 0.  solve for x?
493796
You have to do the Trick, meaning you take out the 5 and reapply it to the number without the variable (2). This leaves you with: 5(xsquared-3x-10)=0\n\nFactor what is inside the parenthesis and get: (x+2)(x-5)\n\nThen reapply the 3 into the equations (but only into the variables, because your doing the trick) and you get:\n(5x+2)(5x-5)=0\n\nThen, set both equations to 0 and solve.\nThe first equation:5x+2=0\nSubtract the 2 from both sides to get: 5x=-2\n\nNext, divide the 5 out of both sides to get: x=-2/5\n\nThe second equation: 5x-5=0\nAdd 5 to both sides to get: 5x=5\n\nNext, divide the 5 out of both sides to get: x=5/5 or x=1\n\nFINAL ANSWERS:\nx=-2/5\nx=1\n\nIf it's a word problem and you can only have one answer, elimate the one that doesn't make sense. For example, if they are asking for the height of something, you wouldn't pick the negative number.
590233
Hint:\nDo a simple substitution u = x-5\nWhich means x = u + 5\n\nYou should get\n\n(2/5)(x-5)^(5/2) + 2(x-5)^(3/2) + C
957977
5xy=(x+y)(x^2+2)\n5xy=x^3+2x+x^2y+2y\n5xy'+5y=3x^2+2+x^2y'+2xy+2y'\n5xy'-x^2y'-2y'=3x^2-5y+2xy\ny'(5x-x^2-2)=3x^2-5y+2xy)\ny'=(3x^2-5y+2xy)/(5x-x^2-2)
1063248
To solve correctly, distribute two to x and -2, add four to both sides, and divide both sides by x:\n\n2(x - 2) = x + 3\n2x - 4 = x + 3\n2x = x + 7\nx = 7\n\nThe error that was made was trying to simply remove the parentheses instead of actually distributing 2 to both of its contents.\n\n-----\n\nIf this is not what you meant and I have read it backwards, this is the other interpretation:\n\n-----\n\nTo solve correctly, add two to both sides, then divide both sides by x:\n\n2x - 2 = x + 3\n2x = x + 5\nx = 5\n\nThe error that was made was trying to change 2x [2 times x] into 2(x - 2) [2 times the difference of x and 2]. This is not allowed.
695355
-5 -2(x+3) + 7x\n= -5 -2x -6 + 7x\n= -11 -2x + 7x\n= 5x - 11
1169467
y = x^2 + 5x - 3\n2y=3x - 2\n----------------\n2y = 2x^2 + 10x - 6\n2y = 3x - 2\n-----------------------\n    0 = 2x^2 + 7x - 4\n=>2x^2 + 7x - 4 =0\n=>2x^2 + 8x - x - 4 = 0\n=>2x(x + 4) -1(x+4) = 0\n=> (2x - 1)(x + 4) = 0\ntherefore 2x - 1 = 0 => x = 1/2 or \nx + 4 = 0 or x = -4\nx = - 4 or 1/2  \ngot it?
765649
switch the variables.\n\nStart with\n\ny = sin(0.5x-3)\n\nand solve for x.\n\nto get rid of  the sin, we apply arcsin or sin^-1 (on calculators)\n\narcsin(y) = arcsin(sin(.5x - 3))\n\nthis gives\n\narcsin(y) = .5x - 3\n\nx = 2*[arcsin(y) + 3]
785524
y = 3x-5\n\nx^2 +(3x-5)^2 = 25\nx^2 + 9x^2 -30x + 25 = 25\n10x^2 -30x = 0\n10x(x-3) = 0\n\nso x = 0 or x = 3\n\nWhen x = 0 y = -5\n\nWhen x = 3  y = 4
618060
this would multiply out to be 4x^2-9\n\nif you let the expression be equal to 0, then x would be positive or negative 3/2 because either (2x+3) = 0 or (2x-3) = 0, and just solve for x
406780
3x=2x+5 \n\nyou have to isolate x \n\nmake x on one side of the equal sign\n\n3x=2x+5 \nsubtract 2x from both sides\nx=5
71189
x = 4\n\nSimplifying\n2x + -3 = 5\nReorder the terms:\n-3 + 2x = 5\nSolving\n-3 + 2x = 5\nSolving for variable 'x'.\n\nMove all terms containing x to the left, all other terms to the right.\n\nAdd '3' to each side of the equation.\n-3 + 3 + 2x = 5 + 3\nCombine like terms: -3 + 3 = 0\n0 + 2x = 5 + 3\n2x = 5 + 3\nCombine like terms: 5 + 3 = 8\n2x = 8\nDivide each side by '2'.\nx = 4\nSimplifying\nx = 4\n\nNow prove it.  (2*4)-3=5
831674
1. replace x with -3, calculate and see if you get 0\n2. divide by (x+3) and solve the remaining quadratic equation
703761
4x² -x = 3\n4x² - x - 3 = 0\n(4x + 3)(x - 1) = 0\nx = -3/4, x = 1
747340
-2x-x > -6 + 4\n-3x > -2 \nx < 2/3
800627
x = 3/(x-2)\n\n=> x(x-2) = 3\n=> x^2 - 2x = 3\n=> x^2 - 2x - 3 = 0\n=> (x-3) (x+1) = 0\n\nEither x-3 = 0 => x=3\nOr x+1 = 0 => x=-1
847044
1) x² - 5x - 3 = 0\nx = 5 /2 ± (√25 - 12) / 2\nx = 5.54  or  -0.54\n\n2)  x² - 10x+ 9= 0\nx =  10/2 ±(√(100 - 36))/2\nx = 5 ± 4\nx = 9  or  1
859187
I'll do one for u.\nIn the first,\nMultiplying both sides by x*,we get\nx+3x+2x*=7x*\n4x+2x*=7x*\nMoving 4x and 2x* to the R.H.S.\n5x*-4x+0=0\nThus 5x*-4x=0\nAttempt the others in the same manner.