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Simplifying 0 = 2x3 + -6x2 + -20x Reorder the terms: 0 = -20x + -6x2 + 2x3 Solving 0 = -20x + -6x2 + 2x3 Solving for variable 'x'. Remove the zero: 20x + 6x2 + -2x3 = -20x + -6x2 + 2x3 + 20x + 6x2 + -2x3 Reorder the terms: 20x + 6x2 + -2x3 = -20x + 20x + -6x2 + 6x2 + 2x3 + -2x3 Combine like terms: -20x + 20x = 0 20x + 6x2 + -2x3 = 0 + -6x2 + 6x2 + 2x3 + -2x3 20x + 6x2 + -2x3 = -6x2 + 6x2 + 2x3 + -2x3 Combine like terms: -6x2 + 6x2 = 0 20x + 6x2 + -2x3 = 0 + 2x3 + -2x3 20x + 6x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 20x + 6x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(10 + 3x + -1x2) = 0 Factor a trinomial. 2x((5 + -1x)(2 + x)) = 0 Ignore the factor 2.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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, 5, -2}
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