(20+2x)(26+2x)=

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Solution for (20+2x)(26+2x)= equation: 


Simplifying
(20 + 2x)(26 + 2x) = 0

Multiply (20 + 2x) * (26 + 2x)
(20(26 + 2x) + 2x * (26 + 2x)) = 0
((26 * 20 + 2x * 20) + 2x * (26 + 2x)) = 0
((520 + 40x) + 2x * (26 + 2x)) = 0
(520 + 40x + (26 * 2x + 2x * 2x)) = 0
(520 + 40x + (52x + 4x2)) = 0

Combine like terms: 40x + 52x = 92x
(520 + 92x + 4x2) = 0

Solving
520 + 92x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(130 + 23x + x2) = 0

Factor a trinomial.
4((13 + x)(10 + 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-13, -10}

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