x^2+y^2+4z^2=16

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Solution for x^2+y^2+4z^2=16 equation: 


Simplifying
x2 + y2 + 4z2 = 16

Solving
x2 + y2 + 4z2 = 16

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 + 4z2 = 16 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 + 4z2 = 16 + -1y2
x2 + 4z2 = 16 + -1y2

Add '-4z2' to each side of the equation.
x2 + 4z2 + -4z2 = 16 + -1y2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
x2 + 0 = 16 + -1y2 + -4z2
x2 = 16 + -1y2 + -4z2

Simplifying
x2 = 16 + -1y2 + -4z2

Reorder the terms:
-16 + x2 + y2 + 4z2 = 16 + -1y2 + -4z2 + -16 + y2 + 4z2

Reorder the terms:
-16 + x2 + y2 + 4z2 = 16 + -16 + -1y2 + y2 + -4z2 + 4z2

Combine like terms: 16 + -16 = 0
-16 + x2 + y2 + 4z2 = 0 + -1y2 + y2 + -4z2 + 4z2
-16 + x2 + y2 + 4z2 = -1y2 + y2 + -4z2 + 4z2

Combine like terms: -1y2 + y2 = 0
-16 + x2 + y2 + 4z2 = 0 + -4z2 + 4z2
-16 + x2 + y2 + 4z2 = -4z2 + 4z2

Combine like terms: -4z2 + 4z2 = 0
-16 + x2 + y2 + 4z2 = 0

The solution to this equation could not be determined.

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