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Simplifying 8m2 + -29m + 15 = 0 Reorder the terms: 15 + -29m + 8m2 = 0 Solving 15 + -29m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -8m)(3 + -1m) = 0Subproblem 1
Set the factor '(5 + -8m)' equal to zero and attempt to solve: Simplifying 5 + -8m = 0 Solving 5 + -8m = 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 + -8m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8m = 0 + -5 -8m = 0 + -5 Combine like terms: 0 + -5 = -5 -8m = -5 Divide each side by '-8'. m = 0.625 Simplifying m = 0.625Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {0.625, 3}
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