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Simplifying 12x2 + -22x = 20 Reorder the terms: -22x + 12x2 = 20 Solving -22x + 12x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + -22x + 12x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -22x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -11x + 6x2) = 0 Factor a trinomial. 2((-2 + -3x)(5 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.6666666667, 2.5}
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