Solve the equation by factoring: x^2 = 5(x+100)

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Guest Oct 13, 2014

+130511

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Best Answer

x^2 = 5(x + 100) distribute the 5 across the terms in the parentheses

x^2 = 5x + 500 subtract the terms on the right from both sides

x^2 - 5x - 500 = 0 factor

(x - 25) (x + 20) = 0 set each factor to 0

x = 25 or x = -20

CPhill Oct 13, 2014

CPhill · Answer 1 · 2014-10-13T10:17:15

x^2 = 5(x + 100) distribute the 5 across the terms in the parentheses

x^2 = 5x + 500 subtract the terms on the right from both sides

x^2 - 5x - 500 = 0 factor

(x - 25) (x + 20) = 0 set each factor to 0

x = 25 or x = -20