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

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


Simplifying
-6x(-1x + -2) = 8(x + 2)

Reorder the terms:
-6x(-2 + -1x) = 8(x + 2)
(-2 * -6x + -1x * -6x) = 8(x + 2)
(12x + 6x2) = 8(x + 2)

Reorder the terms:
12x + 6x2 = 8(2 + x)
12x + 6x2 = (2 * 8 + x * 8)
12x + 6x2 = (16 + 8x)

Solving
12x + 6x2 = 16 + 8x

Solving for variable 'x'.

Reorder the terms:
-16 + 12x + -8x + 6x2 = 16 + 8x + -16 + -8x

Combine like terms: 12x + -8x = 4x
-16 + 4x + 6x2 = 16 + 8x + -16 + -8x

Reorder the terms:
-16 + 4x + 6x2 = 16 + -16 + 8x + -8x

Combine like terms: 16 + -16 = 0
-16 + 4x + 6x2 = 0 + 8x + -8x
-16 + 4x + 6x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + 4x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 2x + 3x2) = 0

Factor a trinomial.
2((-2 + -1x)(4 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-2, 1.333333333}

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