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Simplifying x2 = 7x + 120 Reorder the terms: x2 = 120 + 7x Solving x2 = 120 + 7x Solving for variable 'x'. Reorder the terms: -120 + -7x + x2 = 120 + 7x + -120 + -7x Reorder the terms: -120 + -7x + x2 = 120 + -120 + 7x + -7x Combine like terms: 120 + -120 = 0 -120 + -7x + x2 = 0 + 7x + -7x -120 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -120 + -7x + x2 = 0 Factor a trinomial. (-8 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-8, 15}
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