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Simplifying (2m + 5)(2m + 5) = 0 Reorder the terms: (5 + 2m)(2m + 5) = 0 Reorder the terms: (5 + 2m)(5 + 2m) = 0 Multiply (5 + 2m) * (5 + 2m) (5(5 + 2m) + 2m * (5 + 2m)) = 0 ((5 * 5 + 2m * 5) + 2m * (5 + 2m)) = 0 ((25 + 10m) + 2m * (5 + 2m)) = 0 (25 + 10m + (5 * 2m + 2m * 2m)) = 0 (25 + 10m + (10m + 4m2)) = 0 Combine like terms: 10m + 10m = 20m (25 + 20m + 4m2) = 0 Solving 25 + 20m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + 2m)(5 + 2m) = 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 '(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 = -2.5Solution
m = {-2.5, -2.5}
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