9*x^2+4*y^2-8*z^2=72

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Solution for 9*x^2+4*y^2-8*z^2=72 equation: 


Simplifying
9x2 + 4y2 + -8z2 = 72

Solving
9x2 + 4y2 + -8z2 = 72

Solving for variable 'x'.

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

Add '-4y2' to each side of the equation.
9x2 + 4y2 + -4y2 + -8z2 = 72 + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 + -8z2 = 72 + -4y2
9x2 + -8z2 = 72 + -4y2

Add '8z2' to each side of the equation.
9x2 + -8z2 + 8z2 = 72 + -4y2 + 8z2

Combine like terms: -8z2 + 8z2 = 0
9x2 + 0 = 72 + -4y2 + 8z2
9x2 = 72 + -4y2 + 8z2

Divide each side by '9'.
x2 = 8 + -0.4444444444y2 + 0.8888888889z2

Simplifying
x2 = 8 + -0.4444444444y2 + 0.8888888889z2

Reorder the terms:
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 8 + -0.4444444444y2 + 0.8888888889z2 + -8 + 0.4444444444y2 + -0.8888888889z2

Reorder the terms:
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 8 + -8 + -0.4444444444y2 + 0.4444444444y2 + 0.8888888889z2 + -0.8888888889z2

Combine like terms: 8 + -8 = 0
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0 + -0.4444444444y2 + 0.4444444444y2 + 0.8888888889z2 + -0.8888888889z2
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = -0.4444444444y2 + 0.4444444444y2 + 0.8888888889z2 + -0.8888888889z2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0.0000000000 + 0.8888888889z2 + -0.8888888889z2
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0.8888888889z2 + -0.8888888889z2

Combine like terms: 0.8888888889z2 + -0.8888888889z2 = 0.0000000000
-8 + x2 + 0.4444444444y2 + -0.8888888889z2 = 0.0000000000

The solution to this equation could not be determined.

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