x^2+4w-1=0

Solution for x^2+4w-1=0 equation:

Simplifying
x2 + 4w + -1 = 0

Reorder the terms:
-1 + 4w + x2 = 0

Solving
-1 + 4w + x2 = 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 + 4w + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 4w + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4w + x2 = 0 + 1
4w + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
4w + x2 = 1

Add '-1x2' to each side of the equation.
4w + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
4w + 0 = 1 + -1x2
4w = 1 + -1x2

Divide each side by '4'.
w = 0.25 + -0.25x2

Simplifying
w = 0.25 + -0.25x2