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Simplifying 2m2 + 30 = 16m Reorder the terms: 30 + 2m2 = 16m Solving 30 + 2m2 = 16m Solving for variable 'm'. Reorder the terms: 30 + -16m + 2m2 = 16m + -16m Combine like terms: 16m + -16m = 0 30 + -16m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -8m + m2) = 0 Factor a trinomial. 2((3 + -1m)(5 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {3, 5}
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