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Simplifying 6m2 + -5m = 14 Reorder the terms: -5m + 6m2 = 14 Solving -5m + 6m2 = 14 Solving for variable 'm'. Reorder the terms: -14 + -5m + 6m2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -5m + 6m2 = 0 Factor a trinomial. (-7 + -6m)(2 + -1m) = 0Subproblem 1
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 = -1.166666667Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-1.166666667, 2}
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