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Simplifying 0 = 2m3n + 4mn2 + -8m3n + -7mn2 Reorder the terms: 0 = 4mn2 + -7mn2 + 2m3n + -8m3n Combine like terms: 4mn2 + -7mn2 = -3mn2 0 = -3mn2 + 2m3n + -8m3n Combine like terms: 2m3n + -8m3n = -6m3n 0 = -3mn2 + -6m3n Solving 0 = -3mn2 + -6m3n Solving for variable 'm'. Remove the zero: 3mn2 + 6m3n = -3mn2 + -6m3n + 3mn2 + 6m3n Reorder the terms: 3mn2 + 6m3n = -3mn2 + 3mn2 + -6m3n + 6m3n Combine like terms: -3mn2 + 3mn2 = 0 3mn2 + 6m3n = 0 + -6m3n + 6m3n 3mn2 + 6m3n = -6m3n + 6m3n Combine like terms: -6m3n + 6m3n = 0 3mn2 + 6m3n = 0 Factor out the Greatest Common Factor (GCF), '3mn'. 3mn(n + 2m2) = 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 '(n + 2m2)' equal to zero and attempt to solve: Simplifying n + 2m2 = 0 Reorder the terms: 2m2 + n = 0 Solving 2m2 + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 2m2 + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 2m2 + 0 = 0 + -1n 2m2 = 0 + -1n Remove the zero: 2m2 = -1n Divide each side by '2'. m2 = -0.5n Simplifying m2 = -0.5n 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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