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Simplifying 2(x + -6) = (x * x) + -12 Reorder the terms: 2(-6 + x) = (x * x) + -12 (-6 * 2 + x * 2) = (x * x) + -12 (-12 + 2x) = (x * x) + -12 Multiply x * x -12 + 2x = (x2) + -12 -12 + 2x = x2 + -12 Reorder the terms: -12 + 2x = -12 + x2 Add '12' to each side of the equation. -12 + 12 + 2x = -12 + 12 + x2 Combine like terms: -12 + 12 = 0 0 + 2x = -12 + 12 + x2 2x = -12 + 12 + x2 Combine like terms: -12 + 12 = 0 2x = 0 + x2 2x = x2 Solving 2x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 2x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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