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Simplifying 2In(x + 2) + -1In(-1x) = 0 Reorder the terms: 2nI(2 + x) + -1In(-1x) = 0 (2 * 2nI + x * 2nI) + -1In(-1x) = 0 (4nI + 2nxI) + -1In(-1x) = 0 Remove parenthesis around (-1x) 4nI + 2nxI + -1nI * -1x = 0 Reorder the terms for easier multiplication: 4nI + 2nxI + -1 * -1nI * x = 0 Multiply -1 * -1 4nI + 2nxI + 1nI * x = 0 Multiply nI * x 4nI + 2nxI + 1nxI = 0 Combine like terms: 2nxI + 1nxI = 3nxI 4nI + 3nxI = 0 Solving 4nI + 3nxI = 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), 'nI'. nI(4 + 3x) = 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Add '-3x' to each side of the equation. 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 0 = -4 + -3x Simplifying 0 = -4 + -3x 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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