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Simplifying 5(4m + 5)(m + 5) = 0 Reorder the terms: 5(5 + 4m)(m + 5) = 0 Reorder the terms: 5(5 + 4m)(5 + m) = 0 Multiply (5 + 4m) * (5 + m) 5(5(5 + m) + 4m * (5 + m)) = 0 5((5 * 5 + m * 5) + 4m * (5 + m)) = 0 5((25 + 5m) + 4m * (5 + m)) = 0 5(25 + 5m + (5 * 4m + m * 4m)) = 0 5(25 + 5m + (20m + 4m2)) = 0 Combine like terms: 5m + 20m = 25m 5(25 + 25m + 4m2) = 0 (25 * 5 + 25m * 5 + 4m2 * 5) = 0 (125 + 125m + 20m2) = 0 Solving 125 + 125m + 20m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5'. 5(25 + 25m + 4m2) = 0 Factor a trinomial. 5((5 + m)(5 + 4m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 2
Set the factor '(5 + 4m)' equal to zero and attempt to solve: Simplifying 5 + 4m = 0 Solving 5 + 4m = 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 + 4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 0 + -5 4m = 0 + -5 Combine like terms: 0 + -5 = -5 4m = -5 Divide each side by '4'. m = -1.25 Simplifying m = -1.25Solution
m = {-5, -1.25}
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