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Simplifying 12x3 + -121x2 + -121x = 0 Reorder the terms: -121x + -121x2 + 12x3 = 0 Solving -121x + -121x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-121 + -121x + 12x2) = 0 Factor a trinomial. x((-11 + -12x)(11 + -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 + -12x)' equal to zero and attempt to solve: Simplifying -11 + -12x = 0 Solving -11 + -12x = 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 + -12x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 0 + 11 -12x = 0 + 11 Combine like terms: 0 + 11 = 11 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667Subproblem 3
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 = 11Solution
x = {0, -0.9166666667, 11}
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