y^5-4yw^2=0

Solution for y^5-4yw^2=0 equation:

Simplifying
y5 + -4yw2 = 0

Reorder the terms:
-4w2y + y5 = 0

Solving
-4w2y + y5 = 0

Solving for variable 'w'.

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

Add '-1y5' to each side of the equation.
-4w2y + y5 + -1y5 = 0 + -1y5

Combine like terms: y5 + -1y5 = 0
-4w2y + 0 = 0 + -1y5
-4w2y = 0 + -1y5
Remove the zero:
-4w2y = -1y5

Divide each side by '-4y'.
w2 = 0.25y4

Simplifying
w2 = 0.25y4

Take the square root of each side:
w = {-0.5y2, 0.5y2}