2In(x+2)-In(-x)=0

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Solution for 2In(x+2)-In(-x)=0 equation:


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) = 0

Subproblem 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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