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Simplifying 12x2 + -14 = 22x Reorder the terms: -14 + 12x2 = 22x Solving -14 + 12x2 = 22x Solving for variable 'x'. Reorder the terms: -14 + -22x + 12x2 = 22x + -22x Combine like terms: 22x + -22x = 0 -14 + -22x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -11x + 6x2) = 0 Factor a trinomial. 2((-1 + -2x)(7 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-0.5, 2.333333333}
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