6lx^3+x^2-1=0

Solution for 6lx^3+x^2-1=0 equation:

Simplifying
6lx3 + x2 + -1 = 0

Reorder the terms:
-1 + 6lx3 + x2 = 0

Solving
-1 + 6lx3 + 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 + 6lx3 + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 6lx3 + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6lx3 + x2 = 0 + 1
6lx3 + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
6lx3 + x2 = 1

Add '-1x2' to each side of the equation.
6lx3 + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
6lx3 + 0 = 1 + -1x2
6lx3 = 1 + -1x2

Divide each side by '6x3'.
l = 0.1666666667x-3 + -0.1666666667x-1

Simplifying
l = 0.1666666667x-3 + -0.1666666667x-1