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Simplifying -4x3 + -52x2 = 120x Reorder the terms: -52x2 + -4x3 = 120x Solving -52x2 + -4x3 = 120x Solving for variable 'x'. Reorder the terms: -120x + -52x2 + -4x3 = 120x + -120x Combine like terms: 120x + -120x = 0 -120x + -52x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(30 + 13x + x2) = 0 Factor a trinomial. -4x((10 + x)(3 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 3
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 = {0, -10, -3}
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