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Simplifying 12x + -2x2 = x2 + 3x Reorder the terms: 12x + -2x2 = 3x + x2 Solving 12x + -2x2 = 3x + x2 Solving for variable 'x'. Reorder the terms: 12x + -3x + -2x2 + -1x2 = 3x + x2 + -3x + -1x2 Combine like terms: 12x + -3x = 9x 9x + -2x2 + -1x2 = 3x + x2 + -3x + -1x2 Combine like terms: -2x2 + -1x2 = -3x2 9x + -3x2 = 3x + x2 + -3x + -1x2 Reorder the terms: 9x + -3x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 9x + -3x2 = 0 + x2 + -1x2 9x + -3x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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