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Simplifying 12x2 = 22x + -6 Reorder the terms: 12x2 = -6 + 22x Solving 12x2 = -6 + 22x Solving for variable 'x'. Reorder the terms: 6 + -22x + 12x2 = -6 + 22x + 6 + -22x Reorder the terms: 6 + -22x + 12x2 = -6 + 6 + 22x + -22x Combine like terms: -6 + 6 = 0 6 + -22x + 12x2 = 0 + 22x + -22x 6 + -22x + 12x2 = 22x + -22x Combine like terms: 22x + -22x = 0 6 + -22x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -11x + 6x2) = 0 Factor a trinomial. 2((1 + -3x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.3333333333, 1.5}
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