x^2+4y^2+z=1

Solution for x^2+4y^2+z=1 equation:

Simplifying
x2 + 4y2 + z = 1

Solving
x2 + 4y2 + z = 1

Solving for variable 'x'.

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

Add '-4y2' to each side of the equation.
x2 + 4y2 + -4y2 + z = 1 + -4y2

Combine like terms: 4y2 + -4y2 = 0
x2 + 0 + z = 1 + -4y2
x2 + z = 1 + -4y2

Add '-1z' to each side of the equation.
x2 + z + -1z = 1 + -4y2 + -1z

Combine like terms: z + -1z = 0
x2 + 0 = 1 + -4y2 + -1z
x2 = 1 + -4y2 + -1z

Simplifying
x2 = 1 + -4y2 + -1z

Reorder the terms:
-1 + x2 + 4y2 + z = 1 + -4y2 + -1z + -1 + 4y2 + z

Reorder the terms:
-1 + x2 + 4y2 + z = 1 + -1 + -4y2 + 4y2 + -1z + z

Combine like terms: 1 + -1 = 0
-1 + x2 + 4y2 + z = 0 + -4y2 + 4y2 + -1z + z
-1 + x2 + 4y2 + z = -4y2 + 4y2 + -1z + z

Combine like terms: -4y2 + 4y2 = 0
-1 + x2 + 4y2 + z = 0 + -1z + z
-1 + x2 + 4y2 + z = -1z + z

Combine like terms: -1z + z = 0
-1 + x2 + 4y2 + z = 0

The solution to this equation could not be determined.