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Simplifying 2m2 + 60m = 62 Reorder the terms: 60m + 2m2 = 62 Solving 60m + 2m2 = 62 Solving for variable 'm'. Reorder the terms: -62 + 60m + 2m2 = 62 + -62 Combine like terms: 62 + -62 = 0 -62 + 60m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-31 + 30m + m2) = 0 Factor a trinomial. 2((-31 + -1m)(1 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-31 + -1m)' equal to zero and attempt to solve: Simplifying -31 + -1m = 0 Solving -31 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1m = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1m = 0 + 31 -1m = 0 + 31 Combine like terms: 0 + 31 = 31 -1m = 31 Divide each side by '-1'. m = -31 Simplifying m = -31Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-31, 1}
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