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Simplifying x3 + 2x2 + x = x3 + -1x Reorder the terms: x + 2x2 + x3 = x3 + -1x Reorder the terms: x + 2x2 + x3 = -1x + x3 Add '-1x3' to each side of the equation. x + 2x2 + x3 + -1x3 = -1x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 x + 2x2 + 0 = -1x + x3 + -1x3 x + 2x2 = -1x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 x + 2x2 = -1x + 0 x + 2x2 = -1x Solving x + 2x2 = -1x Solving for variable 'x'. Reorder the terms: x + x + 2x2 = -1x + x Combine like terms: x + x = 2x 2x + 2x2 = -1x + x Combine like terms: -1x + x = 0 2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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