7x^2+3y^2+z^2=21

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Solution for 7x^2+3y^2+z^2=21 equation: 


Simplifying
7x2 + 3y2 + z2 = 21

Solving
7x2 + 3y2 + z2 = 21

Solving for variable 'x'.

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

Add '-3y2' to each side of the equation.
7x2 + 3y2 + -3y2 + z2 = 21 + -3y2

Combine like terms: 3y2 + -3y2 = 0
7x2 + 0 + z2 = 21 + -3y2
7x2 + z2 = 21 + -3y2

Add '-1z2' to each side of the equation.
7x2 + z2 + -1z2 = 21 + -3y2 + -1z2

Combine like terms: z2 + -1z2 = 0
7x2 + 0 = 21 + -3y2 + -1z2
7x2 = 21 + -3y2 + -1z2

Divide each side by '7'.
x2 = 3 + -0.4285714286y2 + -0.1428571429z2

Simplifying
x2 = 3 + -0.4285714286y2 + -0.1428571429z2

Reorder the terms:
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = 3 + -0.4285714286y2 + -0.1428571429z2 + -3 + 0.4285714286y2 + 0.1428571429z2

Reorder the terms:
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = 3 + -3 + -0.4285714286y2 + 0.4285714286y2 + -0.1428571429z2 + 0.1428571429z2

Combine like terms: 3 + -3 = 0
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = 0 + -0.4285714286y2 + 0.4285714286y2 + -0.1428571429z2 + 0.1428571429z2
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = -0.4285714286y2 + 0.4285714286y2 + -0.1428571429z2 + 0.1428571429z2

Combine like terms: -0.4285714286y2 + 0.4285714286y2 = 0.0000000000
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = 0.0000000000 + -0.1428571429z2 + 0.1428571429z2
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = -0.1428571429z2 + 0.1428571429z2

Combine like terms: -0.1428571429z2 + 0.1428571429z2 = 0.0000000000
-3 + x2 + 0.4285714286y2 + 0.1428571429z2 = 0.0000000000

The solution to this equation could not be determined.

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