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Simplifying 6m4n2 + 3mn3 + mn2 = 0 Reorder the terms: mn2 + 3mn3 + 6m4n2 = 0 Solving mn2 + 3mn3 + 6m4n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'mn2'. mn2(1 + 3n + 6m3) = 0Subproblem 1
Set the factor 'mn2' equal to zero and attempt to solve: Simplifying mn2 = 0 Solving mn2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn2 = 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 + 3n + 6m3)' equal to zero and attempt to solve: Simplifying 1 + 3n + 6m3 = 0 Reorder the terms: 1 + 6m3 + 3n = 0 Solving 1 + 6m3 + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6m3 + -1 + 3n = 0 + -1 Reorder the terms: 1 + -1 + 6m3 + 3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6m3 + 3n = 0 + -1 6m3 + 3n = 0 + -1 Combine like terms: 0 + -1 = -1 6m3 + 3n = -1 Add '-3n' to each side of the equation. 6m3 + 3n + -3n = -1 + -3n Combine like terms: 3n + -3n = 0 6m3 + 0 = -1 + -3n 6m3 = -1 + -3n Divide each side by '6'. m3 = -0.1666666667 + -0.5n Simplifying m3 = -0.1666666667 + -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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