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Simplifying 18x3 + 57x2 + 39x = 0 Reorder the terms: 39x + 57x2 + 18x3 = 0 Solving 39x + 57x2 + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(13 + 19x + 6x2) = 0 Factor a trinomial. 3x((13 + 6x)(1 + 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 '(13 + 6x)' equal to zero and attempt to solve: Simplifying 13 + 6x = 0 Solving 13 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 0 + -13 6x = 0 + -13 Combine like terms: 0 + -13 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -2.166666667, -1}
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