x^2-1+2ln(x)=0

Solution for x^2-1+2ln(x)=0 equation:

Simplifying
x2 + -1 + 2ln(x) = 0

Multiply ln * x
x2 + -1 + 2lnx = 0

Reorder the terms:
-1 + 2lnx + x2 = 0

Solving
-1 + 2lnx + x2 = 0

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 2lnx + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 2lnx + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2lnx + x2 = 0 + 1
2lnx + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2lnx + x2 = 1

Add '-1x2' to each side of the equation.
2lnx + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
2lnx + 0 = 1 + -1x2
2lnx = 1 + -1x2

Divide each side by '2nx'.
l = 0.5n-1x-1 + -0.5n-1x

Simplifying
l = 0.5n-1x-1 + -0.5n-1x