-x^2-[3x-(12x^2-7x)]-[2+(-2x-2)]=0

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Solution for -x^2-[3x-(12x^2-7x)]-[2+(-2x-2)]=0 equation: 


Simplifying
-1x2 + -1[3x + -1(12x2 + -7x)] + -1[2 + (-2x + -2)] = 0

Reorder the terms:
-1x2 + -1[3x + -1(-7x + 12x2)] + -1[2 + (-2x + -2)] = 0
-1x2 + -1[3x + (-7x * -1 + 12x2 * -1)] + -1[2 + (-2x + -2)] = 0
-1x2 + -1[3x + (7x + -12x2)] + -1[2 + (-2x + -2)] = 0

Combine like terms: 3x + 7x = 10x
-1x2 + -1[10x + -12x2] + -1[2 + (-2x + -2)] = 0
-1x2 + [10x * -1 + -12x2 * -1] + -1[2 + (-2x + -2)] = 0
-1x2 + [-10x + 12x2] + -1[2 + (-2x + -2)] = 0

Reorder the terms:
-1x2 + -10x + 12x2 + -1[2 + (-2 + -2x)] = 0

Remove parenthesis around (-2 + -2x)
-1x2 + -10x + 12x2 + -1[2 + -2 + -2x] = 0

Combine like terms: 2 + -2 = 0
-1x2 + -10x + 12x2 + -1[0 + -2x] = 0
-1x2 + -10x + 12x2 + -1[-2x] = 0

Remove brackets around [-2x]
-1x2 + -10x + 12x2 + -1 * -2x = 0

Multiply -1 * -2
-1x2 + -10x + 12x2 + 2x = 0

Reorder the terms:
-10x + 2x + -1x2 + 12x2 = 0

Combine like terms: -10x + 2x = -8x
-8x + -1x2 + 12x2 = 0

Combine like terms: -1x2 + 12x2 = 11x2
-8x + 11x2 = 0

Solving
-8x + 11x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 11x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + 11x)' equal to zero and attempt to solve:

Simplifying
-8 + 11x = 0

Solving
-8 + 11x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 11x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = 0 + 8
11x = 0 + 8

Combine like terms: 0 + 8 = 8
11x = 8

Divide each side by '11'.
x = 0.7272727273

Simplifying
x = 0.7272727273
Solution
x = {0, 0.7272727273}

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