x^3+6w-1=0

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

Simplifying
x3 + 6w + -1 = 0

Reorder the terms:
-1 + 6w + x3 = 0

Solving
-1 + 6w + x3 = 0

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 6w + 1 + x3 = 0 + 1

Reorder the terms:
-1 + 1 + 6w + x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6w + x3 = 0 + 1
6w + x3 = 0 + 1

Combine like terms: 0 + 1 = 1
6w + x3 = 1

Add '-1x3' to each side of the equation.
6w + x3 + -1x3 = 1 + -1x3

Combine like terms: x3 + -1x3 = 0
6w + 0 = 1 + -1x3
6w = 1 + -1x3

Divide each side by '6'.
w = 0.1666666667 + -0.1666666667x3

Simplifying
w = 0.1666666667 + -0.1666666667x3