(14+2x)(28+2x)=912

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Solution for (14+2x)(28+2x)=912 equation: 


Simplifying
(14 + 2x)(28 + 2x) = 912

Multiply (14 + 2x) * (28 + 2x)
(14(28 + 2x) + 2x * (28 + 2x)) = 912
((28 * 14 + 2x * 14) + 2x * (28 + 2x)) = 912
((392 + 28x) + 2x * (28 + 2x)) = 912
(392 + 28x + (28 * 2x + 2x * 2x)) = 912
(392 + 28x + (56x + 4x2)) = 912

Combine like terms: 28x + 56x = 84x
(392 + 84x + 4x2) = 912

Solving
392 + 84x + 4x2 = 912

Solving for variable 'x'.

Reorder the terms:
392 + -912 + 84x + 4x2 = 912 + -912

Combine like terms: 392 + -912 = -520
-520 + 84x + 4x2 = 912 + -912

Combine like terms: 912 + -912 = 0
-520 + 84x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-130 + 21x + x2) = 0

Factor a trinomial.
4((-26 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-26, 5}

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