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

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

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

Reorder the terms:
-1 + 2x2 = ln(2x2)

Remove parenthesis around (2x2)
-1 + 2x2 = ln * 2x2

Reorder the terms for easier multiplication:
-1 + 2x2 = 2ln * x2

Multiply ln * x2
-1 + 2x2 = 2lnx2

Solving
-1 + 2x2 = 2lnx2

Solving for variable 'x'.

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

Add '-2lnx2' to each side of the equation.
-1 + -2lnx2 + 2x2 = 2lnx2 + -2lnx2

Combine like terms: 2lnx2 + -2lnx2 = 0
-1 + -2lnx2 + 2x2 = 0

Add '1' to each side of the equation.
-1 + -2lnx2 + 1 + 2x2 = 0 + 1

Reorder the terms:
-1 + 1 + -2lnx2 + 2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2lnx2 + 2x2 = 0 + 1
-2lnx2 + 2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2lnx2 + 2x2 = 1

Reorder the terms:
-1 + -2lnx2 + 2x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2lnx2 + 2x2 = 0

The solution to this equation could not be determined.