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Simplifying 0 = 3x2 + -3x + -18 Reorder the terms: 0 = -18 + -3x + 3x2 Solving 0 = -18 + -3x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + 3x + -3x2 = -18 + -3x + 3x2 + 18 + 3x + -3x2 Reorder the terms: 18 + 3x + -3x2 = -18 + 18 + -3x + 3x + 3x2 + -3x2 Combine like terms: -18 + 18 = 0 18 + 3x + -3x2 = 0 + -3x + 3x + 3x2 + -3x2 18 + 3x + -3x2 = -3x + 3x + 3x2 + -3x2 Combine like terms: -3x + 3x = 0 18 + 3x + -3x2 = 0 + 3x2 + -3x2 18 + 3x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 18 + 3x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + x + -1x2) = 0 Factor a trinomial. 3((3 + -1x)(2 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
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 = {3, -2}
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