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Simplifying -9x3 + -87x2 + -138x = 0 Reorder the terms: -138x + -87x2 + -9x3 = 0 Solving -138x + -87x2 + -9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x'. -3x(46 + 29x + 3x2) = 0 Factor a trinomial. -3x((23 + 3x)(2 + x)) = 0 Ignore the factor -3.Subproblem 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 '(23 + 3x)' equal to zero and attempt to solve: Simplifying 23 + 3x = 0 Solving 23 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 0 + -23 3x = 0 + -23 Combine like terms: 0 + -23 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -7.666666667, -2}
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