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Simplifying (2m + 5)(5m + 3) = 0 Reorder the terms: (5 + 2m)(5m + 3) = 0 Reorder the terms: (5 + 2m)(3 + 5m) = 0 Multiply (5 + 2m) * (3 + 5m) (5(3 + 5m) + 2m * (3 + 5m)) = 0 ((3 * 5 + 5m * 5) + 2m * (3 + 5m)) = 0 ((15 + 25m) + 2m * (3 + 5m)) = 0 (15 + 25m + (3 * 2m + 5m * 2m)) = 0 (15 + 25m + (6m + 10m2)) = 0 Combine like terms: 25m + 6m = 31m (15 + 31m + 10m2) = 0 Solving 15 + 31m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + 2m)(3 + 5m) = 0Subproblem 1
Set the factor '(5 + 2m)' equal to zero and attempt to solve: Simplifying 5 + 2m = 0 Solving 5 + 2m = 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 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5Subproblem 2
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 = -0.6Solution
m = {-2.5, -0.6}
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