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