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Simplifying 3x2 + 3x + -6 = 12 Reorder the terms: -6 + 3x + 3x2 = 12 Solving -6 + 3x + 3x2 = 12 Solving for variable 'x'. Reorder the terms: -6 + -12 + 3x + 3x2 = 12 + -12 Combine like terms: -6 + -12 = -18 -18 + 3x + 3x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -18 + 3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + x + x2) = 0 Factor a trinomial. 3((-3 + -1x)(2 + -1x)) = 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 + -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 = 2Solution
x = {-3, 2}
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