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Simplifying 6m5n3 + -24mn = 0 Reorder the terms: -24mn + 6m5n3 = 0 Solving -24mn + 6m5n3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6mn'. 6mn(-4 + m4n2) = 0 Factor a difference between two squares. 6mn((2 + m2n)(-2 + m2n)) = 0 Ignore the factor 6.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 '(2 + m2n)' equal to zero and attempt to solve: Simplifying 2 + m2n = 0 Solving 2 + m2n = 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 + m2n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m2n = 0 + -2 m2n = 0 + -2 Combine like terms: 0 + -2 = -2 m2n = -2 Divide each side by 'n'. m2 = -2n-1 Simplifying m2 = -2n-1 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 + m2n)' equal to zero and attempt to solve: Simplifying -2 + m2n = 0 Solving -2 + m2n = 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 + m2n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m2n = 0 + 2 m2n = 0 + 2 Combine like terms: 0 + 2 = 2 m2n = 2 Divide each side by 'n'. m2 = 2n-1 Simplifying m2 = 2n-1 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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