(12+2x)(14+2x)=255

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Solution for (12+2x)(14+2x)=255 equation: 


Simplifying
(12 + 2x)(14 + 2x) = 255

Multiply (12 + 2x) * (14 + 2x)
(12(14 + 2x) + 2x * (14 + 2x)) = 255
((14 * 12 + 2x * 12) + 2x * (14 + 2x)) = 255
((168 + 24x) + 2x * (14 + 2x)) = 255
(168 + 24x + (14 * 2x + 2x * 2x)) = 255
(168 + 24x + (28x + 4x2)) = 255

Combine like terms: 24x + 28x = 52x
(168 + 52x + 4x2) = 255

Solving
168 + 52x + 4x2 = 255

Solving for variable 'x'.

Reorder the terms:
168 + -255 + 52x + 4x2 = 255 + -255

Combine like terms: 168 + -255 = -87
-87 + 52x + 4x2 = 255 + -255

Combine like terms: 255 + -255 = 0
-87 + 52x + 4x2 = 0

Factor a trinomial.
(-29 + -2x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-29 + -2x)' equal to zero and attempt to solve:

Simplifying
-29 + -2x = 0

Solving
-29 + -2x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -2x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -2x = 0 + 29
-2x = 0 + 29

Combine like terms: 0 + 29 = 29
-2x = 29

Divide each side by '-2'.
x = -14.5

Simplifying
x = -14.5

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 = {-14.5, 1.5}

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