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Simplifying 6m2 + -5m = 76 Reorder the terms: -5m + 6m2 = 76 Solving -5m + 6m2 = 76 Solving for variable 'm'. Reorder the terms: -76 + -5m + 6m2 = 76 + -76 Combine like terms: 76 + -76 = 0 -76 + -5m + 6m2 = 0 Factor a trinomial. (-19 + -6m)(4 + -1m) = 0Subproblem 1
Set the factor '(-19 + -6m)' equal to zero and attempt to solve: Simplifying -19 + -6m = 0 Solving -19 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -6m = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -6m = 0 + 19 -6m = 0 + 19 Combine like terms: 0 + 19 = 19 -6m = 19 Divide each side by '-6'. m = -3.166666667 Simplifying m = -3.166666667Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-3.166666667, 4}
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