2x^2+1-lnx=0

Solution for 2x^2+1-lnx=0 equation:

Simplifying
2x2 + 1 + -1lnx = 0

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

Solving
1 + -1lnx + 2x2 = 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 + -1lnx + -1 + 2x2 = 0 + -1

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

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

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

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

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

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

Simplifying
l = n-1x-1 + 2n-1x