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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((5 + -2x)(4 + -1x)) = 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 + -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 = 2.5Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 2.5, 4}
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