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