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Simplifying 0 = 10m2 + 4m Reorder the terms: 0 = 4m + 10m2 Solving 0 = 4m + 10m2 Solving for variable 'm'. Remove the zero: -4m + -10m2 = 4m + 10m2 + -4m + -10m2 Reorder the terms: -4m + -10m2 = 4m + -4m + 10m2 + -10m2 Combine like terms: 4m + -4m = 0 -4m + -10m2 = 0 + 10m2 + -10m2 -4m + -10m2 = 10m2 + -10m2 Combine like terms: 10m2 + -10m2 = 0 -4m + -10m2 = 0 Factor out the Greatest Common Factor (GCF), '-2m'. -2m(2 + 5m) = 0 Ignore the factor -2.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 '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Solution
m = {0, -0.4}
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