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Simplifying 2m2 + -72 = 32m Reorder the terms: -72 + 2m2 = 32m Solving -72 + 2m2 = 32m Solving for variable 'm'. Reorder the terms: -72 + -32m + 2m2 = 32m + -32m Combine like terms: 32m + -32m = 0 -72 + -32m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-36 + -16m + m2) = 0 Factor a trinomial. 2((-2 + -1m)(18 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(18 + -1m)' equal to zero and attempt to solve: Simplifying 18 + -1m = 0 Solving 18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = 0 + -18 -1m = 0 + -18 Combine like terms: 0 + -18 = -18 -1m = -18 Divide each side by '-1'. m = 18 Simplifying m = 18Solution
m = {-2, 18}
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