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Simplifying 11x3 + -9x2 + -20x = 0 Reorder the terms: -20x + -9x2 + 11x3 = 0 Solving -20x + -9x2 + 11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + -9x + 11x2) = 0 Factor a trinomial. x((-1 + -1x)(20 + -11x)) = 0Subproblem 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 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 3
Set the factor '(20 + -11x)' equal to zero and attempt to solve: Simplifying 20 + -11x = 0 Solving 20 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -11x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = 0 + -20 -11x = 0 + -20 Combine like terms: 0 + -20 = -20 -11x = -20 Divide each side by '-11'. x = 1.818181818 Simplifying x = 1.818181818Solution
x = {0, -1, 1.818181818}
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