(2x+18)(2x+14)=396

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Solution for (2x+18)(2x+14)=396 equation: 


Simplifying
(2x + 18)(2x + 14) = 396

Reorder the terms:
(18 + 2x)(2x + 14) = 396

Reorder the terms:
(18 + 2x)(14 + 2x) = 396

Multiply (18 + 2x) * (14 + 2x)
(18(14 + 2x) + 2x * (14 + 2x)) = 396
((14 * 18 + 2x * 18) + 2x * (14 + 2x)) = 396
((252 + 36x) + 2x * (14 + 2x)) = 396
(252 + 36x + (14 * 2x + 2x * 2x)) = 396
(252 + 36x + (28x + 4x2)) = 396

Combine like terms: 36x + 28x = 64x
(252 + 64x + 4x2) = 396

Solving
252 + 64x + 4x2 = 396

Solving for variable 'x'.

Reorder the terms:
252 + -396 + 64x + 4x2 = 396 + -396

Combine like terms: 252 + -396 = -144
-144 + 64x + 4x2 = 396 + -396

Combine like terms: 396 + -396 = 0
-144 + 64x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-36 + 16x + x2) = 0

Factor a trinomial.
4((-18 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-18, 2}

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