z^2-4y^2=0

Solution for z^2-4y^2=0 equation:

Simplifying
z2 + -4y2 = 0

Reorder the terms:
-4y2 + z2 = 0

Solving
-4y2 + z2 = 0

Solving for variable 'y'.

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

Add '-1z2' to each side of the equation.
-4y2 + z2 + -1z2 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
-4y2 + 0 = 0 + -1z2
-4y2 = 0 + -1z2
Remove the zero:
-4y2 = -1z2

Divide each side by '-4'.
y2 = 0.25z2

Simplifying
y2 = 0.25z2

Take the square root of each side:
y = {-0.5z, 0.5z}