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Simplifying
(x + 5) * x = 169 + 5x
Reorder the terms:
(5 + x) * x = 169 + 5x
Reorder the terms for easier multiplication:
x(5 + x) = 169 + 5x
(5 * x + x * x) = 169 + 5x
(5x + x2) = 169 + 5x
Add '-5x' to each side of the equation.
5x + -5x + x2 = 169 + 5x + -5x
Combine like terms: 5x + -5x = 0
0 + x2 = 169 + 5x + -5x
x2 = 169 + 5x + -5x
Combine like terms: 5x + -5x = 0
x2 = 169 + 0
x2 = 169
Solving
x2 = 169
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying
x2 = 169
Take the square root of each side:
x = {-13, 13}
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