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Simplifying 5mn2 + 9m2n + -12mn2 = 0 Reorder the terms: 5mn2 + -12mn2 + 9m2n = 0 Combine like terms: 5mn2 + -12mn2 = -7mn2 -7mn2 + 9m2n = 0 Solving -7mn2 + 9m2n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'mn'. mn(-7n + 9m) = 0Subproblem 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 '(-7n + 9m)' equal to zero and attempt to solve: Simplifying -7n + 9m = 0 Reorder the terms: 9m + -7n = 0 Solving 9m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 9m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 9m + 0 = 0 + 7n 9m = 0 + 7n Remove the zero: 9m = 7n Divide each side by '9'. m = 0.7777777778n Simplifying m = 0.7777777778nSolution
m = {0.7777777778n}
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