5lnx^2-3lnx^2+1=0

Solution for 5lnx^2-3lnx^2+1=0 equation:

Simplifying
5lnx2 + -3lnx2 + 1 = 0

Reorder the terms:
1 + 5lnx2 + -3lnx2 = 0

Combine like terms: 5lnx2 + -3lnx2 = 2lnx2
1 + 2lnx2 = 0

Solving
1 + 2lnx2 = 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 + -1 + 2lnx2 = 0 + -1

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

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

Divide each side by '2nx2'.
l = -0.5n-1x-2

Simplifying
l = -0.5n-1x-2