(26+2x)(10+2x)=720

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Solution for (26+2x)(10+2x)=720 equation: 


Simplifying
(26 + 2x)(10 + 2x) = 720

Multiply (26 + 2x) * (10 + 2x)
(26(10 + 2x) + 2x * (10 + 2x)) = 720
((10 * 26 + 2x * 26) + 2x * (10 + 2x)) = 720
((260 + 52x) + 2x * (10 + 2x)) = 720
(260 + 52x + (10 * 2x + 2x * 2x)) = 720
(260 + 52x + (20x + 4x2)) = 720

Combine like terms: 52x + 20x = 72x
(260 + 72x + 4x2) = 720

Solving
260 + 72x + 4x2 = 720

Solving for variable 'x'.

Reorder the terms:
260 + -720 + 72x + 4x2 = 720 + -720

Combine like terms: 260 + -720 = -460
-460 + 72x + 4x2 = 720 + -720

Combine like terms: 720 + -720 = 0
-460 + 72x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-115 + 18x + x2) = 0

Factor a trinomial.
4((-23 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve:

Simplifying
-23 + -1x = 0

Solving
-23 + -1x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = 0 + 23
-1x = 0 + 23

Combine like terms: 0 + 23 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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 = {-23, 5}

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