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Simplifying x3 = -8x2 + -15x Reorder the terms: x3 = -15x + -8x2 Solving x3 = -15x + -8x2 Solving for variable 'x'. Reorder the terms: 15x + 8x2 + x3 = -15x + -8x2 + 15x + 8x2 Reorder the terms: 15x + 8x2 + x3 = -15x + 15x + -8x2 + 8x2 Combine like terms: -15x + 15x = 0 15x + 8x2 + x3 = 0 + -8x2 + 8x2 15x + 8x2 + x3 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 15x + 8x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(15 + 8x + x2) = 0 Factor a trinomial. x((5 + x)(3 + x)) = 0Subproblem 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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, -5, -3}
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