(18+2x)(8+2x)=336

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Solution for (18+2x)(8+2x)=336 equation: 


Simplifying
(18 + 2x)(8 + 2x) = 336

Multiply (18 + 2x) * (8 + 2x)
(18(8 + 2x) + 2x * (8 + 2x)) = 336
((8 * 18 + 2x * 18) + 2x * (8 + 2x)) = 336
((144 + 36x) + 2x * (8 + 2x)) = 336
(144 + 36x + (8 * 2x + 2x * 2x)) = 336
(144 + 36x + (16x + 4x2)) = 336

Combine like terms: 36x + 16x = 52x
(144 + 52x + 4x2) = 336

Solving
144 + 52x + 4x2 = 336

Solving for variable 'x'.

Reorder the terms:
144 + -336 + 52x + 4x2 = 336 + -336

Combine like terms: 144 + -336 = -192
-192 + 52x + 4x2 = 336 + -336

Combine like terms: 336 + -336 = 0
-192 + 52x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-48 + 13x + x2) = 0

Factor a trinomial.
4((-16 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-16, 3}

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