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Simplifying 3m2 + -7m + -40 = 0 Reorder the terms: -40 + -7m + 3m2 = 0 Solving -40 + -7m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -3m)(5 + -1m) = 0Subproblem 1
Set the factor '(-8 + -3m)' equal to zero and attempt to solve: Simplifying -8 + -3m = 0 Solving -8 + -3m = 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 + -3m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3m = 0 + 8 -3m = 0 + 8 Combine like terms: 0 + 8 = 8 -3m = 8 Divide each side by '-3'. m = -2.666666667 Simplifying m = -2.666666667Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-2.666666667, 5}
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