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Simplifying 6mn2 + mn + 8mn2 + -3m2n = 0 Reorder the terms: mn + 6mn2 + 8mn2 + -3m2n = 0 Combine like terms: 6mn2 + 8mn2 = 14mn2 mn + 14mn2 + -3m2n = 0 Solving mn + 14mn2 + -3m2n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'mn'. mn(1 + 14n + -3m) = 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 '(1 + 14n + -3m)' equal to zero and attempt to solve: Simplifying 1 + 14n + -3m = 0 Reorder the terms: 1 + -3m + 14n = 0 Solving 1 + -3m + 14n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3m + -1 + 14n = 0 + -1 Reorder the terms: 1 + -1 + -3m + 14n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m + 14n = 0 + -1 -3m + 14n = 0 + -1 Combine like terms: 0 + -1 = -1 -3m + 14n = -1 Add '-14n' to each side of the equation. -3m + 14n + -14n = -1 + -14n Combine like terms: 14n + -14n = 0 -3m + 0 = -1 + -14n -3m = -1 + -14n Divide each side by '-3'. m = 0.3333333333 + 4.666666667n Simplifying m = 0.3333333333 + 4.666666667nSolution
m = {0.3333333333 + 4.666666667n}
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