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Simplifying x3 + -6x2 + 11x = 2x Reorder the terms: 11x + -6x2 + x3 = 2x Solving 11x + -6x2 + x3 = 2x Solving for variable 'x'. Reorder the terms: 11x + -2x + -6x2 + x3 = 2x + -2x Combine like terms: 11x + -2x = 9x 9x + -6x2 + x3 = 2x + -2x Combine like terms: 2x + -2x = 0 9x + -6x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -6x + x2) = 0 Factor a trinomial. x((3 + -1x)(3 + -1x)) = 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 '(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 = 3Subproblem 3
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, 3}
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