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Simplifying 0 = (-9x + 3)(3x) Reorder the terms: 0 = (3 + -9x)(3x) Remove parenthesis around (3x) 0 = (3 + -9x) * 3x Reorder the terms for easier multiplication: 0 = 3x(3 + -9x) 0 = (3 * 3x + -9x * 3x) 0 = (9x + -27x2) Solving 0 = 9x + -27x2 Solving for variable 'x'. Remove the zero: -9x + 27x2 = 9x + -27x2 + -9x + 27x2 Reorder the terms: -9x + 27x2 = 9x + -9x + -27x2 + 27x2 Combine like terms: 9x + -9x = 0 -9x + 27x2 = 0 + -27x2 + 27x2 -9x + 27x2 = -27x2 + 27x2 Combine like terms: -27x2 + 27x2 = 0 -9x + 27x2 = 0 Factor out the Greatest Common Factor (GCF), '9x'. 9x(-1 + 3x) = 0 Ignore the factor 9.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 '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0, 0.3333333333}
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