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Simplifying x3 + -27x2 + -58x = 0 Reorder the terms: -58x + -27x2 + x3 = 0 Solving -58x + -27x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-58 + -27x + x2) = 0 Factor a trinomial. x((-2 + -1x)(29 + -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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(29 + -1x)' equal to zero and attempt to solve: Simplifying 29 + -1x = 0 Solving 29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29Solution
x = {0, -2, 29}
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