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Simplifying 12x2 + -108 = 18x2 + -18x + -108 Reorder the terms: -108 + 12x2 = 18x2 + -18x + -108 Reorder the terms: -108 + 12x2 = -108 + -18x + 18x2 Add '108' to each side of the equation. -108 + 108 + 12x2 = -108 + -18x + 108 + 18x2 Combine like terms: -108 + 108 = 0 0 + 12x2 = -108 + -18x + 108 + 18x2 12x2 = -108 + -18x + 108 + 18x2 Reorder the terms: 12x2 = -108 + 108 + -18x + 18x2 Combine like terms: -108 + 108 = 0 12x2 = 0 + -18x + 18x2 12x2 = -18x + 18x2 Solving 12x2 = -18x + 18x2 Solving for variable 'x'. Reorder the terms: 18x + 12x2 + -18x2 = -18x + 18x2 + 18x + -18x2 Combine like terms: 12x2 + -18x2 = -6x2 18x + -6x2 = -18x + 18x2 + 18x + -18x2 Reorder the terms: 18x + -6x2 = -18x + 18x + 18x2 + -18x2 Combine like terms: -18x + 18x = 0 18x + -6x2 = 0 + 18x2 + -18x2 18x + -6x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 18x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(3 + -1x) = 0 Ignore the factor 6.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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