X^2+4Y^2+z^2=9

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Solution for X^2+4Y^2+z^2=9 equation:


Simplifying
X2 + 4Y2 + z2 = 9

Solving
X2 + 4Y2 + z2 = 9

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 + z2 = 9 + -4Y2

Combine like terms: 4Y2 + -4Y2 = 0
X2 + 0 + z2 = 9 + -4Y2
X2 + z2 = 9 + -4Y2

Add '-1z2' to each side of the equation.
X2 + z2 + -1z2 = 9 + -4Y2 + -1z2

Combine like terms: z2 + -1z2 = 0
X2 + 0 = 9 + -4Y2 + -1z2
X2 = 9 + -4Y2 + -1z2

Simplifying
X2 = 9 + -4Y2 + -1z2

Reorder the terms:
-9 + X2 + 4Y2 + z2 = 9 + -4Y2 + -1z2 + -9 + 4Y2 + z2

Reorder the terms:
-9 + X2 + 4Y2 + z2 = 9 + -9 + -4Y2 + 4Y2 + -1z2 + z2

Combine like terms: 9 + -9 = 0
-9 + X2 + 4Y2 + z2 = 0 + -4Y2 + 4Y2 + -1z2 + z2
-9 + X2 + 4Y2 + z2 = -4Y2 + 4Y2 + -1z2 + z2

Combine like terms: -4Y2 + 4Y2 = 0
-9 + X2 + 4Y2 + z2 = 0 + -1z2 + z2
-9 + X2 + 4Y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-9 + X2 + 4Y2 + z2 = 0

The solution to this equation could not be determined.

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