(8+2x)(20+2x)=748

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Solution for (8+2x)(20+2x)=748 equation: 


Simplifying
(8 + 2x)(20 + 2x) = 748

Multiply (8 + 2x) * (20 + 2x)
(8(20 + 2x) + 2x * (20 + 2x)) = 748
((20 * 8 + 2x * 8) + 2x * (20 + 2x)) = 748
((160 + 16x) + 2x * (20 + 2x)) = 748
(160 + 16x + (20 * 2x + 2x * 2x)) = 748
(160 + 16x + (40x + 4x2)) = 748

Combine like terms: 16x + 40x = 56x
(160 + 56x + 4x2) = 748

Solving
160 + 56x + 4x2 = 748

Solving for variable 'x'.

Reorder the terms:
160 + -748 + 56x + 4x2 = 748 + -748

Combine like terms: 160 + -748 = -588
-588 + 56x + 4x2 = 748 + -748

Combine like terms: 748 + -748 = 0
-588 + 56x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-147 + 14x + x2) = 0

Factor a trinomial.
4((-21 + -1x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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 = {-21, 7}

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