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Simplifying 27x = x3 + -6x2 Reorder the terms: 27x = -6x2 + x3 Solving 27x = -6x2 + x3 Solving for variable 'x'. Reorder the terms: 27x + 6x2 + -1x3 = -6x2 + 6x2 + x3 + -1x3 Combine like terms: -6x2 + 6x2 = 0 27x + 6x2 + -1x3 = 0 + x3 + -1x3 27x + 6x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 27x + 6x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(27 + 6x + -1x2) = 0 Factor a trinomial. x((9 + -1x)(3 + x)) = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, 9, -3}
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