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Simplifying 6m2 + 4m = 3m + 5m2 Reorder the terms: 4m + 6m2 = 3m + 5m2 Solving 4m + 6m2 = 3m + 5m2 Solving for variable 'm'. Reorder the terms: 4m + -3m + 6m2 + -5m2 = 3m + 5m2 + -3m + -5m2 Combine like terms: 4m + -3m = 1m 1m + 6m2 + -5m2 = 3m + 5m2 + -3m + -5m2 Combine like terms: 6m2 + -5m2 = 1m2 1m + 1m2 = 3m + 5m2 + -3m + -5m2 Reorder the terms: 1m + 1m2 = 3m + -3m + 5m2 + -5m2 Combine like terms: 3m + -3m = 0 1m + 1m2 = 0 + 5m2 + -5m2 1m + 1m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 1m + 1m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(1 + m) = 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 '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 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 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {0, -1}
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