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Simplifying 216x = 4x3 + -12x2 Reorder the terms: 216x = -12x2 + 4x3 Solving 216x = -12x2 + 4x3 Solving for variable 'x'. Reorder the terms: 216x + 12x2 + -4x3 = -12x2 + 12x2 + 4x3 + -4x3 Combine like terms: -12x2 + 12x2 = 0 216x + 12x2 + -4x3 = 0 + 4x3 + -4x3 216x + 12x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 216x + 12x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(54 + 3x + -1x2) = 0 Factor a trinomial. 4x((9 + -1x)(6 + x)) = 0 Ignore the factor 4.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 '(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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, 9, -6}
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