(-6-2x)(-6+2x)=8(x+5)-4

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Solution for (-6-2x)(-6+2x)=8(x+5)-4 equation: 


Simplifying
(-6 + -2x)(-6 + 2x) = 8(x + 5) + -4

Multiply (-6 + -2x) * (-6 + 2x)
(-6(-6 + 2x) + -2x * (-6 + 2x)) = 8(x + 5) + -4
((-6 * -6 + 2x * -6) + -2x * (-6 + 2x)) = 8(x + 5) + -4
((36 + -12x) + -2x * (-6 + 2x)) = 8(x + 5) + -4
(36 + -12x + (-6 * -2x + 2x * -2x)) = 8(x + 5) + -4
(36 + -12x + (12x + -4x2)) = 8(x + 5) + -4

Combine like terms: -12x + 12x = 0
(36 + 0 + -4x2) = 8(x + 5) + -4
(36 + -4x2) = 8(x + 5) + -4

Reorder the terms:
36 + -4x2 = 8(5 + x) + -4
36 + -4x2 = (5 * 8 + x * 8) + -4
36 + -4x2 = (40 + 8x) + -4

Reorder the terms:
36 + -4x2 = 40 + -4 + 8x

Combine like terms: 40 + -4 = 36
36 + -4x2 = 36 + 8x

Add '-36' to each side of the equation.
36 + -36 + -4x2 = 36 + -36 + 8x

Combine like terms: 36 + -36 = 0
0 + -4x2 = 36 + -36 + 8x
-4x2 = 36 + -36 + 8x

Combine like terms: 36 + -36 = 0
-4x2 = 0 + 8x
-4x2 = 8x

Solving
-4x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + -4x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + -4x2 = 0

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

Ignore the factor -4.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}

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