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Simplifying 3m2 + 6 + -10m + -5 + 7 = 0 Reorder the terms: 6 + -5 + 7 + -10m + 3m2 = 0 Combine like terms: 6 + -5 = 1 1 + 7 + -10m + 3m2 = 0 Combine like terms: 1 + 7 = 8 8 + -10m + 3m2 = 0 Solving 8 + -10m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -3m)(2 + -1m) = 0Subproblem 1
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 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 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Subproblem 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 = {1.333333333, 2}
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