(x+2)*ln(x+2)-x-2=0

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


Simplifying
(x + 2) * ln(x + 2) + -1x + -2 = 0

Reorder the terms:
(2 + x) * ln(x + 2) + -1x + -2 = 0

Reorder the terms:
(2 + x) * ln(2 + x) + -1x + -2 = 0

Reorder the terms for easier multiplication:
ln(2 + x)(2 + x) + -1x + -2 = 0

Multiply (2 + x) * (2 + x)
ln(2(2 + x) + x(2 + x)) + -1x + -2 = 0
ln((2 * 2 + x * 2) + x(2 + x)) + -1x + -2 = 0
ln((4 + 2x) + x(2 + x)) + -1x + -2 = 0
ln(4 + 2x + (2 * x + x * x)) + -1x + -2 = 0
ln(4 + 2x + (2x + x2)) + -1x + -2 = 0

Combine like terms: 2x + 2x = 4x
ln(4 + 4x + x2) + -1x + -2 = 0
(4 * ln + 4x * ln + x2 * ln) + -1x + -2 = 0
(4ln + 4lnx + lnx2) + -1x + -2 = 0

Reorder the terms:
-2 + 4ln + 4lnx + lnx2 + -1x = 0

Solving
-2 + 4ln + 4lnx + lnx2 + -1x = 0

Solving for variable 'l'.

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

Add '2' to each side of the equation.
-2 + 4ln + 4lnx + lnx2 + 2 + -1x = 0 + 2

Reorder the terms:
-2 + 2 + 4ln + 4lnx + lnx2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4ln + 4lnx + lnx2 + -1x = 0 + 2
4ln + 4lnx + lnx2 + -1x = 0 + 2

Combine like terms: 0 + 2 = 2
4ln + 4lnx + lnx2 + -1x = 2

Add 'x' to each side of the equation.
4ln + 4lnx + lnx2 + -1x + x = 2 + x

Combine like terms: -1x + x = 0
4ln + 4lnx + lnx2 + 0 = 2 + x
4ln + 4lnx + lnx2 = 2 + x

Reorder the terms:
-2 + 4ln + 4lnx + lnx2 + -1x = 2 + x + -2 + -1x

Reorder the terms:
-2 + 4ln + 4lnx + lnx2 + -1x = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
-2 + 4ln + 4lnx + lnx2 + -1x = 0 + x + -1x
-2 + 4ln + 4lnx + lnx2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-2 + 4ln + 4lnx + lnx2 + -1x = 0

The solution to this equation could not be determined.

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