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Simplifying 3m3 + -8m3 = 6m2 + -4m2 Combine like terms: 3m3 + -8m3 = -5m3 -5m3 = 6m2 + -4m2 Combine like terms: 6m2 + -4m2 = 2m2 -5m3 = 2m2 Solving -5m3 = 2m2 Solving for variable 'm'. Reorder the terms: -2m2 + -5m3 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -2m2 + -5m3 = 0 Factor out the Greatest Common Factor (GCF), '-1m2'. -1m2(2 + 5m) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 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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