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Simplifying 6m5n7 + -4mn + 2m3n4 = 0 Reorder the terms: -4mn + 2m3n4 + 6m5n7 = 0 Solving -4mn + 2m3n4 + 6m5n7 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2mn'. 2mn(-2 + m2n3 + 3m4n6) = 0 Factor a trinomial. 2mn((-1 + -1m2n3)(2 + -3m2n3)) = 0 Ignore the factor 2.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 '(-1 + -1m2n3)' equal to zero and attempt to solve: Simplifying -1 + -1m2n3 = 0 Solving -1 + -1m2n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1m2n3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m2n3 = 0 + 1 -1m2n3 = 0 + 1 Combine like terms: 0 + 1 = 1 -1m2n3 = 1 Divide each side by '-1n3'. m2 = -1n-3 Simplifying m2 = -1n-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -3m2n3)' equal to zero and attempt to solve: Simplifying 2 + -3m2n3 = 0 Solving 2 + -3m2n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m2n3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m2n3 = 0 + -2 -3m2n3 = 0 + -2 Combine like terms: 0 + -2 = -2 -3m2n3 = -2 Divide each side by '-3n3'. m2 = 0.6666666667n-3 Simplifying m2 = 0.6666666667n-3 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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