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Simplifying x2 + 2(x + 3) = 6 + -2x Reorder the terms: x2 + 2(3 + x) = 6 + -2x x2 + (3 * 2 + x * 2) = 6 + -2x x2 + (6 + 2x) = 6 + -2x Reorder the terms: 6 + 2x + x2 = 6 + -2x Add '-6' to each side of the equation. 6 + 2x + -6 + x2 = 6 + -6 + -2x Reorder the terms: 6 + -6 + 2x + x2 = 6 + -6 + -2x Combine like terms: 6 + -6 = 0 0 + 2x + x2 = 6 + -6 + -2x 2x + x2 = 6 + -6 + -2x Combine like terms: 6 + -6 = 0 2x + x2 = 0 + -2x 2x + x2 = -2x Solving 2x + x2 = -2x Solving for variable 'x'. Reorder the terms: 2x + 2x + x2 = -2x + 2x Combine like terms: 2x + 2x = 4x 4x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 4x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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