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Simplifying 0 = 2x3 + 2x2 + -40x Reorder the terms: 0 = -40x + 2x2 + 2x3 Solving 0 = -40x + 2x2 + 2x3 Solving for variable 'x'. Remove the zero: 40x + -2x2 + -2x3 = -40x + 2x2 + 2x3 + 40x + -2x2 + -2x3 Reorder the terms: 40x + -2x2 + -2x3 = -40x + 40x + 2x2 + -2x2 + 2x3 + -2x3 Combine like terms: -40x + 40x = 0 40x + -2x2 + -2x3 = 0 + 2x2 + -2x2 + 2x3 + -2x3 40x + -2x2 + -2x3 = 2x2 + -2x2 + 2x3 + -2x3 Combine like terms: 2x2 + -2x2 = 0 40x + -2x2 + -2x3 = 0 + 2x3 + -2x3 40x + -2x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 40x + -2x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(20 + -1x + -1x2) = 0 Factor a trinomial. 2x((4 + -1x)(5 + 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 '(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 = 4Subproblem 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, 4, -5}
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