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Simplifying 8m2n3 + 4m2n2 + -60m2n = 0 Reorder the terms: -60m2n + 4m2n2 + 8m2n3 = 0 Solving -60m2n + 4m2n2 + 8m2n3 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4m2n'. 4m2n(-15 + n + 2n2) = 0 Factor a trinomial. 4m2n((-3 + -1n)(5 + -2n)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm2n' equal to zero and attempt to solve: Simplifying m2n = 0 Solving m2n = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2n = 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 '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Add 'n' to each side of the equation. -1n + n = 3 + n Combine like terms: -1n + n = 0 0 = 3 + n Simplifying 0 = 3 + n 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 '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Add '2n' to each side of the equation. -2n + 2n = -5 + 2n Combine like terms: -2n + 2n = 0 0 = -5 + 2n Simplifying 0 = -5 + 2n 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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