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Simplifying 12m2 + 5mn + -2m2 = 0 Reorder the terms: 5mn + 12m2 + -2m2 = 0 Combine like terms: 12m2 + -2m2 = 10m2 5mn + 10m2 = 0 Solving 5mn + 10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m'. 5m(n + 2m) = 0 Ignore the factor 5.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 '(n + 2m)' equal to zero and attempt to solve: Simplifying n + 2m = 0 Reorder the terms: 2m + n = 0 Solving 2m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 2m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 2m + 0 = 0 + -1n 2m = 0 + -1n Remove the zero: 2m = -1n Divide each side by '2'. m = -0.5n Simplifying m = -0.5nSolution
m = {0, -0.5n}
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