-8x^2-[8x-(6x^2-8x)]-[7+(-8x-7)]=

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Solution for -8x^2-[8x-(6x^2-8x)]-[7+(-8x-7)]= equation: 


Simplifying
-8x2 + -1[8x + -1(6x2 + -8x)] + -1[7 + (-8x + -7)] = 0

Reorder the terms:
-8x2 + -1[8x + -1(-8x + 6x2)] + -1[7 + (-8x + -7)] = 0
-8x2 + -1[8x + (-8x * -1 + 6x2 * -1)] + -1[7 + (-8x + -7)] = 0
-8x2 + -1[8x + (8x + -6x2)] + -1[7 + (-8x + -7)] = 0

Combine like terms: 8x + 8x = 16x
-8x2 + -1[16x + -6x2] + -1[7 + (-8x + -7)] = 0
-8x2 + [16x * -1 + -6x2 * -1] + -1[7 + (-8x + -7)] = 0
-8x2 + [-16x + 6x2] + -1[7 + (-8x + -7)] = 0

Reorder the terms:
-8x2 + -16x + 6x2 + -1[7 + (-7 + -8x)] = 0

Remove parenthesis around (-7 + -8x)
-8x2 + -16x + 6x2 + -1[7 + -7 + -8x] = 0

Combine like terms: 7 + -7 = 0
-8x2 + -16x + 6x2 + -1[0 + -8x] = 0
-8x2 + -16x + 6x2 + -1[-8x] = 0

Remove brackets around [-8x]
-8x2 + -16x + 6x2 + -1 * -8x = 0

Multiply -1 * -8
-8x2 + -16x + 6x2 + 8x = 0

Reorder the terms:
-16x + 8x + -8x2 + 6x2 = 0

Combine like terms: -16x + 8x = -8x
-8x + -8x2 + 6x2 = 0

Combine like terms: -8x2 + 6x2 = -2x2
-8x + -2x2 = 0

Solving
-8x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(4 + x) = 0

Ignore the factor -2.

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}

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