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Simplifying 6m2 + 41m = 56 Reorder the terms: 41m + 6m2 = 56 Solving 41m + 6m2 = 56 Solving for variable 'm'. Reorder the terms: -56 + 41m + 6m2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 41m + 6m2 = 0 Factor a trinomial. (-8 + -1m)(7 + -6m) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(7 + -6m)' equal to zero and attempt to solve: Simplifying 7 + -6m = 0 Solving 7 + -6m = 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 + -6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 0 + -7 -6m = 0 + -7 Combine like terms: 0 + -7 = -7 -6m = -7 Divide each side by '-6'. m = 1.166666667 Simplifying m = 1.166666667Solution
m = {-8, 1.166666667}
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