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Simplifying -108x3 + 294x2 + -198x = 0 Reorder the terms: -198x + 294x2 + -108x3 = 0 Solving -198x + 294x2 + -108x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-33 + 49x + -18x2) = 0 Factor a trinomial. 6x((-3 + 2x)(11 + -9x)) = 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 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 3
Set the factor '(11 + -9x)' equal to zero and attempt to solve: Simplifying 11 + -9x = 0 Solving 11 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 0 + -11 -9x = 0 + -11 Combine like terms: 0 + -11 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222Solution
x = {0, 1.5, 1.222222222}
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