(2x+18-8)6(6x+12)=

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Solution for (2x+18-8)6(6x+12)= equation: 


Simplifying
(2x + 18 + -8) * 6(6x + 12) = 0

Reorder the terms:
(18 + -8 + 2x) * 6(6x + 12) = 0

Combine like terms: 18 + -8 = 10
(10 + 2x) * 6(6x + 12) = 0

Reorder the terms:
(10 + 2x) * 6(12 + 6x) = 0

Reorder the terms for easier multiplication:
6(10 + 2x)(12 + 6x) = 0

Multiply (10 + 2x) * (12 + 6x)
6(10(12 + 6x) + 2x * (12 + 6x)) = 0
6((12 * 10 + 6x * 10) + 2x * (12 + 6x)) = 0
6((120 + 60x) + 2x * (12 + 6x)) = 0
6(120 + 60x + (12 * 2x + 6x * 2x)) = 0
6(120 + 60x + (24x + 12x2)) = 0

Combine like terms: 60x + 24x = 84x
6(120 + 84x + 12x2) = 0
(120 * 6 + 84x * 6 + 12x2 * 6) = 0
(720 + 504x + 72x2) = 0

Solving
720 + 504x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '72'.
72(10 + 7x + x2) = 0

Factor a trinomial.
72((5 + x)(2 + x)) = 0

Ignore the factor 72.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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 = {-5, -2}

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