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Simplifying -5m(-8m + -2) = 0 Reorder the terms: -5m(-2 + -8m) = 0 (-2 * -5m + -8m * -5m) = 0 (10m + 40m2) = 0 Solving 10m + 40m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10m'. 10m(1 + 4m) = 0 Ignore the factor 10.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 '(1 + 4m)' equal to zero and attempt to solve: Simplifying 1 + 4m = 0 Solving 1 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 0 + -1 4m = 0 + -1 Combine like terms: 0 + -1 = -1 4m = -1 Divide each side by '4'. m = -0.25 Simplifying m = -0.25Solution
m = {0, -0.25}
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