(26+2x)(10+2x)=0

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Solution for (26+2x)(10+2x)=0 equation: 


Simplifying
(26 + 2x)(10 + 2x) = 0

Multiply (26 + 2x) * (10 + 2x)
(26(10 + 2x) + 2x * (10 + 2x)) = 0
((10 * 26 + 2x * 26) + 2x * (10 + 2x)) = 0
((260 + 52x) + 2x * (10 + 2x)) = 0
(260 + 52x + (10 * 2x + 2x * 2x)) = 0
(260 + 52x + (20x + 4x2)) = 0

Combine like terms: 52x + 20x = 72x
(260 + 72x + 4x2) = 0

Solving
260 + 72x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(65 + 18x + x2) = 0

Factor a trinomial.
4((13 + x)(5 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13

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

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5
Solution
x = {-13, -5}

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