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Simplifying -40x = 13x2 + x3 Solving -40x = 13x2 + x3 Solving for variable 'x'. Reorder the terms: -40x + -13x2 + -1x3 = 13x2 + -13x2 + x3 + -1x3 Combine like terms: 13x2 + -13x2 = 0 -40x + -13x2 + -1x3 = 0 + x3 + -1x3 -40x + -13x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -40x + -13x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(40 + 13x + x2) = 0 Factor a trinomial. -1x((8 + x)(5 + x)) = 0 Ignore the factor -1.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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 3
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 = -5Solution
x = {0, -8, -5}
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