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Simplifying 10m5n3 + 46m5n2 + 24m5n = 0 Reorder the terms: 24m5n + 46m5n2 + 10m5n3 = 0 Solving 24m5n + 46m5n2 + 10m5n3 = 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), '2m5n'. 2m5n(12 + 23n + 5n2) = 0 Factor a trinomial. 2m5n((4 + n)(3 + 5n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm5n' equal to zero and attempt to solve: Simplifying m5n = 0 Solving m5n = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m5n = 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 '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Add '-1n' to each side of the equation. n + -1n = -4 + -1n Combine like terms: n + -1n = 0 0 = -4 + -1n Simplifying 0 = -4 + -1n 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 '(3 + 5n)' equal to zero and attempt to solve: Simplifying 3 + 5n = 0 Solving 3 + 5n = 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 + 5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5n = 0 + -3 5n = 0 + -3 Combine like terms: 0 + -3 = -3 5n = -3 Add '-5n' to each side of the equation. 5n + -5n = -3 + -5n Combine like terms: 5n + -5n = 0 0 = -3 + -5n Simplifying 0 = -3 + -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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