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Simplifying 0 = 25m + 10m2 Solving 0 = 25m + 10m2 Solving for variable 'm'. Remove the zero: -25m + -10m2 = 25m + 10m2 + -25m + -10m2 Reorder the terms: -25m + -10m2 = 25m + -25m + 10m2 + -10m2 Combine like terms: 25m + -25m = 0 -25m + -10m2 = 0 + 10m2 + -10m2 -25m + -10m2 = 10m2 + -10m2 Combine like terms: 10m2 + -10m2 = 0 -25m + -10m2 = 0 Factor out the Greatest Common Factor (GCF), '-5m'. -5m(5 + 2m) = 0 Ignore the factor -5.Subproblem 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 '(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 = {0, -2.5}
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