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Simplifying 3m2 + -22m + 40 = 0 Reorder the terms: 40 + -22m + 3m2 = 0 Solving 40 + -22m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + -3m)(4 + -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 '(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 = {3.333333333, 4}
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