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Simplifying -15x(x + 6) = 120 Reorder the terms: -15x(6 + x) = 120 (6 * -15x + x * -15x) = 120 (-90x + -15x2) = 120 Solving -90x + -15x2 = 120 Solving for variable 'x'. Reorder the terms: -120 + -90x + -15x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + -90x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '-15'. -15(8 + 6x + x2) = 0 Factor a trinomial. -15((4 + x)(2 + x)) = 0 Ignore the factor -15.Subproblem 1
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 = -4Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-4, -2}
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