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Simplifying 3m2 + -31m + 70 = 0 Reorder the terms: 70 + -31m + 3m2 = 0 Solving 70 + -31m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + -3m)(7 + -1m) = 0Subproblem 1
Set the factor '(10 + -3m)' equal to zero and attempt to solve: Simplifying 10 + -3m = 0 Solving 10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 0 + -10 -3m = 0 + -10 Combine like terms: 0 + -10 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {3.333333333, 7}
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