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Simplifying 2x3 = -13x2 + -20x Reorder the terms: 2x3 = -20x + -13x2 Solving 2x3 = -20x + -13x2 Solving for variable 'x'. Reorder the terms: 20x + 13x2 + 2x3 = -20x + -13x2 + 20x + 13x2 Reorder the terms: 20x + 13x2 + 2x3 = -20x + 20x + -13x2 + 13x2 Combine like terms: -20x + 20x = 0 20x + 13x2 + 2x3 = 0 + -13x2 + 13x2 20x + 13x2 + 2x3 = -13x2 + 13x2 Combine like terms: -13x2 + 13x2 = 0 20x + 13x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + 13x + 2x2) = 0 Factor a trinomial. x((4 + x)(5 + 2x)) = 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 '(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 3
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -4, -2.5}
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