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Simplifying 0 = x2 + 2x + -120 Reorder the terms: 0 = -120 + 2x + x2 Solving 0 = -120 + 2x + x2 Solving for variable 'x'. Combine like terms: 0 + 120 = 120 120 + -2x + -1x2 = -120 + 2x + x2 + 120 + -2x + -1x2 Reorder the terms: 120 + -2x + -1x2 = -120 + 120 + 2x + -2x + x2 + -1x2 Combine like terms: -120 + 120 = 0 120 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2 120 + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 120 + -2x + -1x2 = 0 + x2 + -1x2 120 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 120 + -2x + -1x2 = 0 Factor a trinomial. (10 + -1x)(12 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {10, -12}
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