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Simplifying -2m2 + 44m + -242 = 0 Reorder the terms: -242 + 44m + -2m2 = 0 Solving -242 + 44m + -2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-121 + 22m + -1m2) = 0 Factor a trinomial. 2((-11 + m)(11 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + m)' equal to zero and attempt to solve: Simplifying -11 + m = 0 Solving -11 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + m = 0 + 11 m = 0 + 11 Combine like terms: 0 + 11 = 11 m = 11 Simplifying m = 11Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11Solution
m = {11, 11}
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