(x+13)(x+13)=25

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Solution for (x+13)(x+13)=25 equation: 


Simplifying
(x + 13)(x + 13) = 25

Reorder the terms:
(13 + x)(x + 13) = 25

Reorder the terms:
(13 + x)(13 + x) = 25

Multiply (13 + x) * (13 + x)
(13(13 + x) + x(13 + x)) = 25
((13 * 13 + x * 13) + x(13 + x)) = 25
((169 + 13x) + x(13 + x)) = 25
(169 + 13x + (13 * x + x * x)) = 25
(169 + 13x + (13x + x2)) = 25

Combine like terms: 13x + 13x = 26x
(169 + 26x + x2) = 25

Solving
169 + 26x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
169 + -25 + 26x + x2 = 25 + -25

Combine like terms: 169 + -25 = 144
144 + 26x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
144 + 26x + x2 = 0

Factor a trinomial.
(18 + x)(8 + x) = 0


Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {-18, -8}

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