(18+2x)(28+2x)=1344

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Solution for (18+2x)(28+2x)=1344 equation: 


Simplifying
(18 + 2x)(28 + 2x) = 1344

Multiply (18 + 2x) * (28 + 2x)
(18(28 + 2x) + 2x * (28 + 2x)) = 1344
((28 * 18 + 2x * 18) + 2x * (28 + 2x)) = 1344
((504 + 36x) + 2x * (28 + 2x)) = 1344
(504 + 36x + (28 * 2x + 2x * 2x)) = 1344
(504 + 36x + (56x + 4x2)) = 1344

Combine like terms: 36x + 56x = 92x
(504 + 92x + 4x2) = 1344

Solving
504 + 92x + 4x2 = 1344

Solving for variable 'x'.

Reorder the terms:
504 + -1344 + 92x + 4x2 = 1344 + -1344

Combine like terms: 504 + -1344 = -840
-840 + 92x + 4x2 = 1344 + -1344

Combine like terms: 1344 + -1344 = 0
-840 + 92x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-210 + 23x + x2) = 0

Factor a trinomial.
4((-30 + -1x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-30, 7}

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