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Simplifying -22x = -60 + -2x2 Solving -22x = -60 + -2x2 Solving for variable 'x'. Reorder the terms: 60 + -22x + 2x2 = -60 + -2x2 + 60 + 2x2 Reorder the terms: 60 + -22x + 2x2 = -60 + 60 + -2x2 + 2x2 Combine like terms: -60 + 60 = 0 60 + -22x + 2x2 = 0 + -2x2 + 2x2 60 + -22x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 60 + -22x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -11x + x2) = 0 Factor a trinomial. 2((5 + -1x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {5, 6}
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