3(x^2-x)-4(x^2+x)=-3(x+1)-4(x+2)

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Solution for 3(x^2-x)-4(x^2+x)=-3(x+1)-4(x+2) equation: 


Simplifying
3(x2 + -1x) + -4(x2 + x) = -3(x + 1) + -4(x + 2)

Reorder the terms:
3(-1x + x2) + -4(x2 + x) = -3(x + 1) + -4(x + 2)
(-1x * 3 + x2 * 3) + -4(x2 + x) = -3(x + 1) + -4(x + 2)
(-3x + 3x2) + -4(x2 + x) = -3(x + 1) + -4(x + 2)

Reorder the terms:
-3x + 3x2 + -4(x + x2) = -3(x + 1) + -4(x + 2)
-3x + 3x2 + (x * -4 + x2 * -4) = -3(x + 1) + -4(x + 2)
-3x + 3x2 + (-4x + -4x2) = -3(x + 1) + -4(x + 2)

Reorder the terms:
-3x + -4x + 3x2 + -4x2 = -3(x + 1) + -4(x + 2)

Combine like terms: -3x + -4x = -7x
-7x + 3x2 + -4x2 = -3(x + 1) + -4(x + 2)

Combine like terms: 3x2 + -4x2 = -1x2
-7x + -1x2 = -3(x + 1) + -4(x + 2)

Reorder the terms:
-7x + -1x2 = -3(1 + x) + -4(x + 2)
-7x + -1x2 = (1 * -3 + x * -3) + -4(x + 2)
-7x + -1x2 = (-3 + -3x) + -4(x + 2)

Reorder the terms:
-7x + -1x2 = -3 + -3x + -4(2 + x)
-7x + -1x2 = -3 + -3x + (2 * -4 + x * -4)
-7x + -1x2 = -3 + -3x + (-8 + -4x)

Reorder the terms:
-7x + -1x2 = -3 + -8 + -3x + -4x

Combine like terms: -3 + -8 = -11
-7x + -1x2 = -11 + -3x + -4x

Combine like terms: -3x + -4x = -7x
-7x + -1x2 = -11 + -7x

Add '7x' to each side of the equation.
-7x + 7x + -1x2 = -11 + -7x + 7x

Combine like terms: -7x + 7x = 0
0 + -1x2 = -11 + -7x + 7x
-1x2 = -11 + -7x + 7x

Combine like terms: -7x + 7x = 0
-1x2 = -11 + 0
-1x2 = -11

Solving
-1x2 = -11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-1'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}

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