14x^2-6y^2-10z^2=81

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Solution for 14x^2-6y^2-10z^2=81 equation: 


Simplifying
14x2 + -6y2 + -10z2 = 81

Solving
14x2 + -6y2 + -10z2 = 81

Solving for variable 'x'.

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

Add '6y2' to each side of the equation.
14x2 + -6y2 + 6y2 + -10z2 = 81 + 6y2

Combine like terms: -6y2 + 6y2 = 0
14x2 + 0 + -10z2 = 81 + 6y2
14x2 + -10z2 = 81 + 6y2

Add '10z2' to each side of the equation.
14x2 + -10z2 + 10z2 = 81 + 6y2 + 10z2

Combine like terms: -10z2 + 10z2 = 0
14x2 + 0 = 81 + 6y2 + 10z2
14x2 = 81 + 6y2 + 10z2

Divide each side by '14'.
x2 = 5.785714286 + 0.4285714286y2 + 0.7142857143z2

Simplifying
x2 = 5.785714286 + 0.4285714286y2 + 0.7142857143z2

Reorder the terms:
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 5.785714286 + 0.4285714286y2 + 0.7142857143z2 + -5.785714286 + -0.4285714286y2 + -0.7142857143z2

Reorder the terms:
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 5.785714286 + -5.785714286 + 0.4285714286y2 + -0.4285714286y2 + 0.7142857143z2 + -0.7142857143z2

Combine like terms: 5.785714286 + -5.785714286 = 0.000000000
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 0.000000000 + 0.4285714286y2 + -0.4285714286y2 + 0.7142857143z2 + -0.7142857143z2
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 0.4285714286y2 + -0.4285714286y2 + 0.7142857143z2 + -0.7142857143z2

Combine like terms: 0.4285714286y2 + -0.4285714286y2 = 0.0000000000
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 0.0000000000 + 0.7142857143z2 + -0.7142857143z2
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 0.7142857143z2 + -0.7142857143z2

Combine like terms: 0.7142857143z2 + -0.7142857143z2 = 0.0000000000
-5.785714286 + x2 + -0.4285714286y2 + -0.7142857143z2 = 0.0000000000

The solution to this equation could not be determined.

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