x(x+5)=5(x+125)

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Solution for x(x+5)=5(x+125) equation: 


Simplifying
x(x + 5) = 5(x + 125)

Reorder the terms:
x(5 + x) = 5(x + 125)
(5 * x + x * x) = 5(x + 125)
(5x + x2) = 5(x + 125)

Reorder the terms:
5x + x2 = 5(125 + x)
5x + x2 = (125 * 5 + x * 5)
5x + x2 = (625 + 5x)

Add '-5x' to each side of the equation.
5x + -5x + x2 = 625 + 5x + -5x

Combine like terms: 5x + -5x = 0
0 + x2 = 625 + 5x + -5x
x2 = 625 + 5x + -5x

Combine like terms: 5x + -5x = 0
x2 = 625 + 0
x2 = 625

Solving
x2 = 625

Solving for variable 'x'.

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

Simplifying
x2 = 625

Take the square root of each side:
x = {-25, 25}

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