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Simplifying 9x = 2x2 + -3x Reorder the terms: 9x = -3x + 2x2 Solving 9x = -3x + 2x2 Solving for variable 'x'. Combine like terms: 9x + 3x = 12x 12x + -2x2 = -3x + 2x2 + 3x + -2x2 Reorder the terms: 12x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 12x + -2x2 = 0 + 2x2 + -2x2 12x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + -1x) = 0 Ignore the factor 2.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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, 6}
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