(2x+13)(2x+13)=169

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Solution for (2x+13)(2x+13)=169 equation: 


Simplifying
(2x + 13)(2x + 13) = 169

Reorder the terms:
(13 + 2x)(2x + 13) = 169

Reorder the terms:
(13 + 2x)(13 + 2x) = 169

Multiply (13 + 2x) * (13 + 2x)
(13(13 + 2x) + 2x * (13 + 2x)) = 169
((13 * 13 + 2x * 13) + 2x * (13 + 2x)) = 169
((169 + 26x) + 2x * (13 + 2x)) = 169
(169 + 26x + (13 * 2x + 2x * 2x)) = 169
(169 + 26x + (26x + 4x2)) = 169

Combine like terms: 26x + 26x = 52x
(169 + 52x + 4x2) = 169

Add '-169' to each side of the equation.
169 + 52x + -169 + 4x2 = 169 + -169

Reorder the terms:
169 + -169 + 52x + 4x2 = 169 + -169

Combine like terms: 169 + -169 = 0
0 + 52x + 4x2 = 169 + -169
52x + 4x2 = 169 + -169

Combine like terms: 169 + -169 = 0
52x + 4x2 = 0

Solving
52x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(13 + x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, -13}

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