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Simplifying 2m2 + 14 = 16m Reorder the terms: 14 + 2m2 = 16m Solving 14 + 2m2 = 16m Solving for variable 'm'. Reorder the terms: 14 + -16m + 2m2 = 16m + -16m Combine like terms: 16m + -16m = 0 14 + -16m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -8m + m2) = 0 Factor a trinomial. 2((1 + -1m)(7 + -1m)) = 0 Ignore the factor 2.Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {1, 7}
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