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Simplifying 2Iny = Ine2 + -3In Solving 2nyI = e2nI + -3nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1e2nI' to each side of the equation. -1e2nI + 2nyI = e2nI + -1e2nI + -3nI Combine like terms: e2nI + -1e2nI = 0 -1e2nI + 2nyI = 0 + -3nI -1e2nI + 2nyI = -3nI Add '3nI' to each side of the equation. -1e2nI + 3nI + 2nyI = -3nI + 3nI Combine like terms: -3nI + 3nI = 0 -1e2nI + 3nI + 2nyI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-1e2 + 3 + 2y) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-1e2 + 3 + 2y)' equal to zero and attempt to solve: Simplifying -1e2 + 3 + 2y = 0 Reorder the terms: 3 + -1e2 + 2y = 0 Solving 3 + -1e2 + 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 + -1e2 + -3 + 2y = 0 + -3 Reorder the terms: 3 + -3 + -1e2 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1e2 + 2y = 0 + -3 -1e2 + 2y = 0 + -3 Combine like terms: 0 + -3 = -3 -1e2 + 2y = -3 Add 'e2' to each side of the equation. -1e2 + e2 + 2y = -3 + e2 Combine like terms: -1e2 + e2 = 0 0 + 2y = -3 + e2 2y = -3 + e2 Add '-2y' to each side of the equation. 2y + -2y = -3 + e2 + -2y Combine like terms: 2y + -2y = 0 0 = -3 + e2 + -2y Simplifying 0 = -3 + e2 + -2y 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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