z^2+y^2=x^4

Solution for z^2+y^2=x^4 equation:

Simplifying
z2 + y2 = x4

Reorder the terms:
y2 + z2 = x4

Solving
y2 + z2 = x4

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.
y2 + z2 + -1z2 = x4 + -1z2

Combine like terms: z2 + -1z2 = 0
y2 + 0 = x4 + -1z2
y2 = x4 + -1z2

Simplifying
y2 = x4 + -1z2

Reorder the terms:
-1x4 + y2 + z2 = x4 + -1z2 + -1x4 + z2

Reorder the terms:
-1x4 + y2 + z2 = x4 + -1x4 + -1z2 + z2

Combine like terms: x4 + -1x4 = 0
-1x4 + y2 + z2 = 0 + -1z2 + z2
-1x4 + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-1x4 + y2 + z2 = 0

The solution to this equation could not be determined.