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Simplifying (6m)(15m + 3n) = 0 Remove parenthesis around (6m) 6m(15m + 3n) = 0 (15m * 6m + 3n * 6m) = 0 Reorder the terms: (18mn + 90m2) = 0 (18mn + 90m2) = 0 Solving 18mn + 90m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '18m'. 18m(n + 5m) = 0 Ignore the factor 18.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 + 5m)' equal to zero and attempt to solve: Simplifying n + 5m = 0 Reorder the terms: 5m + n = 0 Solving 5m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 5m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 5m + 0 = 0 + -1n 5m = 0 + -1n Remove the zero: 5m = -1n Divide each side by '5'. m = -0.2n Simplifying m = -0.2nSolution
m = {0, -0.2n}
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