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Simplifying 4m2 + 6m = m Reorder the terms: 6m + 4m2 = m Solving 6m + 4m2 = m Solving for variable 'm'. Reorder the terms: 6m + -1m + 4m2 = m + -1m Combine like terms: 6m + -1m = 5m 5m + 4m2 = m + -1m Combine like terms: m + -1m = 0 5m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(5 + 4m) = 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 + 4m)' equal to zero and attempt to solve: Simplifying 5 + 4m = 0 Solving 5 + 4m = 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 + 4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 0 + -5 4m = 0 + -5 Combine like terms: 0 + -5 = -5 4m = -5 Divide each side by '4'. m = -1.25 Simplifying m = -1.25Solution
m = {0, -1.25}
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