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Simplifying 120 = (2x + 1) * x Reorder the terms: 120 = (1 + 2x) * x Reorder the terms for easier multiplication: 120 = x(1 + 2x) 120 = (1 * x + 2x * x) 120 = (1x + 2x2) Solving 120 = 1x + 2x2 Solving for variable 'x'. Reorder the terms: 120 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 120 + -1x + -2x2 = 0 + 2x2 + -2x2 120 + -1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 120 + -1x + -2x2 = 0 Factor a trinomial. (15 + -2x)(8 + x) = 0Subproblem 1
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {7.5, -8}
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