z^2-36x^2-9y^2=1

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Solution for z^2-36x^2-9y^2=1 equation: 


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

Reorder the terms:
-36x2 + -9y2 + z2 = 1

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

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

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

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

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

Divide each side by '-36'.
x2 = -0.02777777778 + -0.25y2 + 0.02777777778z2

Simplifying
x2 = -0.02777777778 + -0.25y2 + 0.02777777778z2

Reorder the terms:
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = -0.02777777778 + -0.25y2 + 0.02777777778z2 + 0.02777777778 + 0.25y2 + -0.02777777778z2

Reorder the terms:
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = -0.02777777778 + 0.02777777778 + -0.25y2 + 0.25y2 + 0.02777777778z2 + -0.02777777778z2

Combine like terms: -0.02777777778 + 0.02777777778 = 0.00000000000
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = 0.00000000000 + -0.25y2 + 0.25y2 + 0.02777777778z2 + -0.02777777778z2
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = -0.25y2 + 0.25y2 + 0.02777777778z2 + -0.02777777778z2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = 0.00 + 0.02777777778z2 + -0.02777777778z2
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = 0.02777777778z2 + -0.02777777778z2

Combine like terms: 0.02777777778z2 + -0.02777777778z2 = 0.00000000000
0.02777777778 + x2 + 0.25y2 + -0.02777777778z2 = 0.00000000000

The solution to this equation could not be determined.

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