6x^2+88x+136=-2x^2+8x+8

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Solution for 6x^2+88x+136=-2x^2+8x+8 equation: 


Simplifying
6x2 + 88x + 136 = -2x2 + 8x + 8

Reorder the terms:
136 + 88x + 6x2 = -2x2 + 8x + 8

Reorder the terms:
136 + 88x + 6x2 = 8 + 8x + -2x2

Solving
136 + 88x + 6x2 = 8 + 8x + -2x2

Solving for variable 'x'.

Reorder the terms:
136 + -8 + 88x + -8x + 6x2 + 2x2 = 8 + 8x + -2x2 + -8 + -8x + 2x2

Combine like terms: 136 + -8 = 128
128 + 88x + -8x + 6x2 + 2x2 = 8 + 8x + -2x2 + -8 + -8x + 2x2

Combine like terms: 88x + -8x = 80x
128 + 80x + 6x2 + 2x2 = 8 + 8x + -2x2 + -8 + -8x + 2x2

Combine like terms: 6x2 + 2x2 = 8x2
128 + 80x + 8x2 = 8 + 8x + -2x2 + -8 + -8x + 2x2

Reorder the terms:
128 + 80x + 8x2 = 8 + -8 + 8x + -8x + -2x2 + 2x2

Combine like terms: 8 + -8 = 0
128 + 80x + 8x2 = 0 + 8x + -8x + -2x2 + 2x2
128 + 80x + 8x2 = 8x + -8x + -2x2 + 2x2

Combine like terms: 8x + -8x = 0
128 + 80x + 8x2 = 0 + -2x2 + 2x2
128 + 80x + 8x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
128 + 80x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(16 + 10x + x2) = 0

Factor a trinomial.
8((8 + x)(2 + x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8

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 = {-8, -2}

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