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Simplifying 0 = 3x2 + -18x + -120 Reorder the terms: 0 = -120 + -18x + 3x2 Solving 0 = -120 + -18x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 120 = 120 120 + 18x + -3x2 = -120 + -18x + 3x2 + 120 + 18x + -3x2 Reorder the terms: 120 + 18x + -3x2 = -120 + 120 + -18x + 18x + 3x2 + -3x2 Combine like terms: -120 + 120 = 0 120 + 18x + -3x2 = 0 + -18x + 18x + 3x2 + -3x2 120 + 18x + -3x2 = -18x + 18x + 3x2 + -3x2 Combine like terms: -18x + 18x = 0 120 + 18x + -3x2 = 0 + 3x2 + -3x2 120 + 18x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 120 + 18x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(40 + 6x + -1x2) = 0 Factor a trinomial. 3((10 + -1x)(4 + x)) = 0 Ignore the factor 3.Subproblem 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {10, -4}
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