2In(x+4)-4=6

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Solution for 2In(x+4)-4=6 equation:


Simplifying
2In(x + 4) + -4 = 6

Reorder the terms:
2nI(4 + x) + -4 = 6
(4 * 2nI + x * 2nI) + -4 = 6
(8nI + 2nxI) + -4 = 6

Reorder the terms:
-4 + 8nI + 2nxI = 6

Solving
-4 + 8nI + 2nxI = 6

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 8nI + 4 + 2nxI = 6 + 4

Reorder the terms:
-4 + 4 + 8nI + 2nxI = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 8nI + 2nxI = 6 + 4
8nI + 2nxI = 6 + 4

Combine like terms: 6 + 4 = 10
8nI + 2nxI = 10

Reorder the terms:
-10 + 8nI + 2nxI = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 8nI + 2nxI = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 4nI + nxI) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 4nI + nxI)' equal to zero and attempt to solve: Simplifying -5 + 4nI + nxI = 0 Solving -5 + 4nI + nxI = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4nI + 5 + nxI = 0 + 5 Reorder the terms: -5 + 5 + 4nI + nxI = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4nI + nxI = 0 + 5 4nI + nxI = 0 + 5 Combine like terms: 0 + 5 = 5 4nI + nxI = 5 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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