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Simplifying x2 = x + -2(x + -2 + x + 2) Reorder the terms: x2 = x + -2(-2 + 2 + x + x) Combine like terms: -2 + 2 = 0 x2 = x + -2(0 + x + x) x2 = x + -2(x + x) Combine like terms: x + x = 2x x2 = x + -2(2x) Remove parenthesis around (2x) x2 = x + -2 * 2x Multiply -2 * 2 x2 = x + -4x Combine like terms: x + -4x = -3x x2 = -3x Solving x2 = -3x Solving for variable 'x'. Reorder the terms: 3x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 3x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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