320=(14+2x)(18+2x)-252

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Solution for 320=(14+2x)(18+2x)-252 equation: 


Simplifying
320 = (14 + 2x)(18 + 2x) + -252

Multiply (14 + 2x) * (18 + 2x)
320 = (14(18 + 2x) + 2x * (18 + 2x)) + -252
320 = ((18 * 14 + 2x * 14) + 2x * (18 + 2x)) + -252
320 = ((252 + 28x) + 2x * (18 + 2x)) + -252
320 = (252 + 28x + (18 * 2x + 2x * 2x)) + -252
320 = (252 + 28x + (36x + 4x2)) + -252

Combine like terms: 28x + 36x = 64x
320 = (252 + 64x + 4x2) + -252

Reorder the terms:
320 = 252 + -252 + 64x + 4x2

Combine like terms: 252 + -252 = 0
320 = 0 + 64x + 4x2
320 = 64x + 4x2

Solving
320 = 64x + 4x2

Solving for variable 'x'.

Reorder the terms:
320 + -64x + -4x2 = 64x + -64x + 4x2 + -4x2

Combine like terms: 64x + -64x = 0
320 + -64x + -4x2 = 0 + 4x2 + -4x2
320 + -64x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
320 + -64x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(80 + -16x + -1x2) = 0

Factor a trinomial.
4((4 + -1x)(20 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {4, -20}

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