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Simplifying 5x(-1x + 5) = -120 Reorder the terms: 5x(5 + -1x) = -120 (5 * 5x + -1x * 5x) = -120 (25x + -5x2) = -120 Solving 25x + -5x2 = -120 Solving for variable 'x'. Reorder the terms: 120 + 25x + -5x2 = -120 + 120 Combine like terms: -120 + 120 = 0 120 + 25x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(24 + 5x + -1x2) = 0 Factor a trinomial. 5((8 + -1x)(3 + x)) = 0 Ignore the factor 5.Subproblem 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {8, -3}
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