(12+2x)(8+2x)=165

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Solution for (12+2x)(8+2x)=165 equation: 


Simplifying
(12 + 2x)(8 + 2x) = 165

Multiply (12 + 2x) * (8 + 2x)
(12(8 + 2x) + 2x * (8 + 2x)) = 165
((8 * 12 + 2x * 12) + 2x * (8 + 2x)) = 165
((96 + 24x) + 2x * (8 + 2x)) = 165
(96 + 24x + (8 * 2x + 2x * 2x)) = 165
(96 + 24x + (16x + 4x2)) = 165

Combine like terms: 24x + 16x = 40x
(96 + 40x + 4x2) = 165

Solving
96 + 40x + 4x2 = 165

Solving for variable 'x'.

Reorder the terms:
96 + -165 + 40x + 4x2 = 165 + -165

Combine like terms: 96 + -165 = -69
-69 + 40x + 4x2 = 165 + -165

Combine like terms: 165 + -165 = 0
-69 + 40x + 4x2 = 0

Factor a trinomial.
(-23 + -2x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve:

Simplifying
-23 + -2x = 0

Solving
-23 + -2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = 0 + 23
-2x = 0 + 23

Combine like terms: 0 + 23 = 23
-2x = 23

Divide each side by '-2'.
x = -11.5

Simplifying
x = -11.5

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-11.5, 1.5}

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