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Simplifying 10ny3 + 13ny2 + -3ny = 0 Reorder the terms: -3ny + 13ny2 + 10ny3 = 0 Solving -3ny + 13ny2 + 10ny3 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ny'. ny(-3 + 13y + 10y2) = 0 Factor a trinomial. ny((-3 + -2y)(1 + -5y)) = 0Subproblem 1
Set the factor 'ny' equal to zero and attempt to solve: Simplifying ny = 0 Solving ny = 0 Move all terms containing n to the left, all other terms to the right. Simplifying ny = 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 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Add '2y' to each side of the equation. -2y + 2y = 3 + 2y Combine like terms: -2y + 2y = 0 0 = 3 + 2y Simplifying 0 = 3 + 2y 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 '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Add '5y' to each side of the equation. -5y + 5y = -1 + 5y Combine like terms: -5y + 5y = 0 0 = -1 + 5y Simplifying 0 = -1 + 5y 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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