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Simplifying 0 = 3x2 + -3x + -216 Reorder the terms: 0 = -216 + -3x + 3x2 Solving 0 = -216 + -3x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 216 = 216 216 + 3x + -3x2 = -216 + -3x + 3x2 + 216 + 3x + -3x2 Reorder the terms: 216 + 3x + -3x2 = -216 + 216 + -3x + 3x + 3x2 + -3x2 Combine like terms: -216 + 216 = 0 216 + 3x + -3x2 = 0 + -3x + 3x + 3x2 + -3x2 216 + 3x + -3x2 = -3x + 3x + 3x2 + -3x2 Combine like terms: -3x + 3x = 0 216 + 3x + -3x2 = 0 + 3x2 + -3x2 216 + 3x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 216 + 3x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(72 + x + -1x2) = 0 Factor a trinomial. 3((9 + -1x)(8 + x)) = 0 Ignore the factor 3.Subproblem 1
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 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {9, -8}
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