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Simplifying -9x2 + 6x + 12 = -12 Reorder the terms: 12 + 6x + -9x2 = -12 Solving 12 + 6x + -9x2 = -12 Solving for variable 'x'. Reorder the terms: 12 + 12 + 6x + -9x2 = -12 + 12 Combine like terms: 12 + 12 = 24 24 + 6x + -9x2 = -12 + 12 Combine like terms: -12 + 12 = 0 24 + 6x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 2x + -3x2) = 0 Factor a trinomial. 3((2 + -1x)(4 + 3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {2, -1.333333333}
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