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Simplifying -12 = 6x2 + -22x Reorder the terms: -12 = -22x + 6x2 Solving -12 = -22x + 6x2 Solving for variable 'x'. Reorder the terms: -12 + 22x + -6x2 = -22x + 22x + 6x2 + -6x2 Combine like terms: -22x + 22x = 0 -12 + 22x + -6x2 = 0 + 6x2 + -6x2 -12 + 22x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -12 + 22x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 11x + -3x2) = 0 Factor a trinomial. 2((-3 + x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {3, 0.6666666667}
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