9x^2+9y^2-z^2=36

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Solution for 9x^2+9y^2-z^2=36 equation:


Simplifying
9x2 + 9y2 + -1z2 = 36

Solving
9x2 + 9y2 + -1z2 = 36

Solving for variable 'x'.

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

Add '-9y2' to each side of the equation.
9x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2

Combine like terms: 9y2 + -9y2 = 0
9x2 + 0 + -1z2 = 36 + -9y2
9x2 + -1z2 = 36 + -9y2

Add 'z2' to each side of the equation.
9x2 + -1z2 + z2 = 36 + -9y2 + z2

Combine like terms: -1z2 + z2 = 0
9x2 + 0 = 36 + -9y2 + z2
9x2 = 36 + -9y2 + z2

Divide each side by '9'.
x2 = 4 + -1y2 + 0.1111111111z2

Simplifying
x2 = 4 + -1y2 + 0.1111111111z2

Reorder the terms:
-4 + x2 + y2 + -0.1111111111z2 = 4 + -1y2 + 0.1111111111z2 + -4 + y2 + -0.1111111111z2

Reorder the terms:
-4 + x2 + y2 + -0.1111111111z2 = 4 + -4 + -1y2 + y2 + 0.1111111111z2 + -0.1111111111z2

Combine like terms: 4 + -4 = 0
-4 + x2 + y2 + -0.1111111111z2 = 0 + -1y2 + y2 + 0.1111111111z2 + -0.1111111111z2
-4 + x2 + y2 + -0.1111111111z2 = -1y2 + y2 + 0.1111111111z2 + -0.1111111111z2

Combine like terms: -1y2 + y2 = 0
-4 + x2 + y2 + -0.1111111111z2 = 0 + 0.1111111111z2 + -0.1111111111z2
-4 + x2 + y2 + -0.1111111111z2 = 0.1111111111z2 + -0.1111111111z2

Combine like terms: 0.1111111111z2 + -0.1111111111z2 = 0.0000000000
-4 + x2 + y2 + -0.1111111111z2 = 0.0000000000

The solution to this equation could not be determined.

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