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Simplifying m(5m + -28) = -15 Reorder the terms: m(-28 + 5m) = -15 (-28 * m + 5m * m) = -15 (-28m + 5m2) = -15 Solving -28m + 5m2 = -15 Solving for variable 'm'. Reorder the terms: 15 + -28m + 5m2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + -28m + 5m2 = 0 Factor a trinomial. (3 + -5m)(5 + -1m) = 0Subproblem 1
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Subproblem 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 = {0.6, 5}
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