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Simplifying 3m + 2(5 + m) * 5m = 0 Reorder the terms for easier multiplication: 3m + 2 * 5m(5 + m) = 0 Multiply 2 * 5 3m + 10m(5 + m) = 0 3m + (5 * 10m + m * 10m) = 0 3m + (50m + 10m2) = 0 Combine like terms: 3m + 50m = 53m 53m + 10m2 = 0 Solving 53m + 10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(53 + 10m) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(53 + 10m)' equal to zero and attempt to solve: Simplifying 53 + 10m = 0 Solving 53 + 10m = 0 Move all terms containing m to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 10m = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 10m = 0 + -53 10m = 0 + -53 Combine like terms: 0 + -53 = -53 10m = -53 Divide each side by '10'. m = -5.3 Simplifying m = -5.3Solution
m = {0, -5.3}
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