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Simplifying 2x3 = 12x2 + -18x Reorder the terms: 2x3 = -18x + 12x2 Solving 2x3 = -18x + 12x2 Solving for variable 'x'. Reorder the terms: 18x + -12x2 + 2x3 = -18x + 12x2 + 18x + -12x2 Reorder the terms: 18x + -12x2 + 2x3 = -18x + 18x + 12x2 + -12x2 Combine like terms: -18x + 18x = 0 18x + -12x2 + 2x3 = 0 + 12x2 + -12x2 18x + -12x2 + 2x3 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 18x + -12x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(9 + -6x + x2) = 0 Factor a trinomial. 2x((3 + -1x)(3 + -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 '(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 = 3Subproblem 3
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, 3}
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