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Simplifying 2m2 + 5m = 10m Reorder the terms: 5m + 2m2 = 10m Solving 5m + 2m2 = 10m Solving for variable 'm'. Reorder the terms: 5m + -10m + 2m2 = 10m + -10m Combine like terms: 5m + -10m = -5m -5m + 2m2 = 10m + -10m Combine like terms: 10m + -10m = 0 -5m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-5 + 2m) = 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 '(-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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