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Simplifying 3mn(3m2 + -4n) = 0 (3m2 * 3mn + -4n * 3mn) = 0 Reorder the terms: (-12mn2 + 9m3n) = 0 (-12mn2 + 9m3n) = 0 Solving -12mn2 + 9m3n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3mn'. 3mn(-4n + 3m2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4n + 3m2)' equal to zero and attempt to solve: Simplifying -4n + 3m2 = 0 Reorder the terms: 3m2 + -4n = 0 Solving 3m2 + -4n = 0 Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 3m2 + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 3m2 + 0 = 0 + 4n 3m2 = 0 + 4n Remove the zero: 3m2 = 4n Divide each side by '3'. m2 = 1.333333333n Simplifying m2 = 1.333333333n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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