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Simplifying 5m2 + -54m + 112 = 0 Reorder the terms: 112 + -54m + 5m2 = 0 Solving 112 + -54m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (14 + -5m)(8 + -1m) = 0Subproblem 1
Set the factor '(14 + -5m)' equal to zero and attempt to solve: Simplifying 14 + -5m = 0 Solving 14 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5m = 0 + -14 -5m = 0 + -14 Combine like terms: 0 + -14 = -14 -5m = -14 Divide each side by '-5'. m = 2.8 Simplifying m = 2.8Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {2.8, 8}
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