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Simplifying 9m(3n + m + -6) = 0 Reorder the terms: 9m(-6 + m + 3n) = 0 (-6 * 9m + m * 9m + 3n * 9m) = 0 Reorder the terms: (-54m + 27mn + 9m2) = 0 (-54m + 27mn + 9m2) = 0 Solving -54m + 27mn + 9m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '9m'. 9m(-6 + 3n + m) = 0 Ignore the factor 9.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 '(-6 + 3n + m)' equal to zero and attempt to solve: Simplifying -6 + 3n + m = 0 Reorder the terms: -6 + m + 3n = 0 Solving -6 + m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + m + 6 + 3n = 0 + 6 Reorder the terms: -6 + 6 + m + 3n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + m + 3n = 0 + 6 m + 3n = 0 + 6 Combine like terms: 0 + 6 = 6 m + 3n = 6 Add '-3n' to each side of the equation. m + 3n + -3n = 6 + -3n Combine like terms: 3n + -3n = 0 m + 0 = 6 + -3n m = 6 + -3n Simplifying m = 6 + -3nSolution
m = {0, 6 + -3n}
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