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Simplifying x2 + 4x = x + -2x2 Reorder the terms: 4x + x2 = x + -2x2 Solving 4x + x2 = x + -2x2 Solving for variable 'x'. Reorder the terms: 4x + -1x + x2 + 2x2 = x + -2x2 + -1x + 2x2 Combine like terms: 4x + -1x = 3x 3x + x2 + 2x2 = x + -2x2 + -1x + 2x2 Combine like terms: x2 + 2x2 = 3x2 3x + 3x2 = x + -2x2 + -1x + 2x2 Reorder the terms: 3x + 3x2 = x + -1x + -2x2 + 2x2 Combine like terms: x + -1x = 0 3x + 3x2 = 0 + -2x2 + 2x2 3x + 3x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + x) = 0 Ignore the factor 3.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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