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Simplifying 0 = (9 + -3x)(-6x) Remove parenthesis around (-6x) 0 = (9 + -3x) * -6x Reorder the terms for easier multiplication: 0 = -6x(9 + -3x) 0 = (9 * -6x + -3x * -6x) 0 = (-54x + 18x2) Solving 0 = -54x + 18x2 Solving for variable 'x'. Remove the zero: 54x + -18x2 = -54x + 18x2 + 54x + -18x2 Reorder the terms: 54x + -18x2 = -54x + 54x + 18x2 + -18x2 Combine like terms: -54x + 54x = 0 54x + -18x2 = 0 + 18x2 + -18x2 54x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 54x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '18x'. 18x(3 + -1x) = 0 Ignore the factor 18.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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