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