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Simplifying X3 + -23X2 + 132X = 0 Reorder the terms: 132X + -23X2 + X3 = 0 Solving 132X + -23X2 + X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(132 + -23X + X2) = 0 Factor a trinomial. X((11 + -1X)(12 + -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 '(11 + -1X)' equal to zero and attempt to solve: Simplifying 11 + -1X = 0 Solving 11 + -1X = 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 + -1X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1X = 0 + -11 -1X = 0 + -11 Combine like terms: 0 + -11 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11Subproblem 3
Set the factor '(12 + -1X)' equal to zero and attempt to solve: Simplifying 12 + -1X = 0 Solving 12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1X = 0 + -12 -1X = 0 + -12 Combine like terms: 0 + -12 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12Solution
X = {0, 11, 12}
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