x^2+y^2-8z=14

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Solution for x^2+y^2-8z=14 equation:


Simplifying
x2 + y2 + -8z = 14

Solving
x2 + y2 + -8z = 14

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 + -8z = 14 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 + -8z = 14 + -1y2
x2 + -8z = 14 + -1y2

Add '8z' to each side of the equation.
x2 + -8z + 8z = 14 + -1y2 + 8z

Combine like terms: -8z + 8z = 0
x2 + 0 = 14 + -1y2 + 8z
x2 = 14 + -1y2 + 8z

Simplifying
x2 = 14 + -1y2 + 8z

Reorder the terms:
-14 + x2 + y2 + -8z = 14 + -1y2 + 8z + -14 + y2 + -8z

Reorder the terms:
-14 + x2 + y2 + -8z = 14 + -14 + -1y2 + y2 + 8z + -8z

Combine like terms: 14 + -14 = 0
-14 + x2 + y2 + -8z = 0 + -1y2 + y2 + 8z + -8z
-14 + x2 + y2 + -8z = -1y2 + y2 + 8z + -8z

Combine like terms: -1y2 + y2 = 0
-14 + x2 + y2 + -8z = 0 + 8z + -8z
-14 + x2 + y2 + -8z = 8z + -8z

Combine like terms: 8z + -8z = 0
-14 + x2 + y2 + -8z = 0

The solution to this equation could not be determined.

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