72x^2+32z^2-9y^2+36=0

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Solution for 72x^2+32z^2-9y^2+36=0 equation: 


Simplifying
72x2 + 32z2 + -9y2 + 36 = 0

Reorder the terms:
36 + 72x2 + -9y2 + 32z2 = 0

Solving
36 + 72x2 + -9y2 + 32z2 = 0

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + 72x2 + -9y2 + -36 + 32z2 = 0 + -36

Reorder the terms:
36 + -36 + 72x2 + -9y2 + 32z2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 72x2 + -9y2 + 32z2 = 0 + -36
72x2 + -9y2 + 32z2 = 0 + -36

Combine like terms: 0 + -36 = -36
72x2 + -9y2 + 32z2 = -36

Add '9y2' to each side of the equation.
72x2 + -9y2 + 9y2 + 32z2 = -36 + 9y2

Combine like terms: -9y2 + 9y2 = 0
72x2 + 0 + 32z2 = -36 + 9y2
72x2 + 32z2 = -36 + 9y2

Add '-32z2' to each side of the equation.
72x2 + 32z2 + -32z2 = -36 + 9y2 + -32z2

Combine like terms: 32z2 + -32z2 = 0
72x2 + 0 = -36 + 9y2 + -32z2
72x2 = -36 + 9y2 + -32z2

Divide each side by '72'.
x2 = -0.5 + 0.125y2 + -0.4444444444z2

Simplifying
x2 = -0.5 + 0.125y2 + -0.4444444444z2

Reorder the terms:
0.5 + x2 + -0.125y2 + 0.4444444444z2 = -0.5 + 0.125y2 + -0.4444444444z2 + 0.5 + -0.125y2 + 0.4444444444z2

Reorder the terms:
0.5 + x2 + -0.125y2 + 0.4444444444z2 = -0.5 + 0.5 + 0.125y2 + -0.125y2 + -0.4444444444z2 + 0.4444444444z2

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 + -0.125y2 + 0.4444444444z2 = 0.0 + 0.125y2 + -0.125y2 + -0.4444444444z2 + 0.4444444444z2
0.5 + x2 + -0.125y2 + 0.4444444444z2 = 0.125y2 + -0.125y2 + -0.4444444444z2 + 0.4444444444z2

Combine like terms: 0.125y2 + -0.125y2 = 0.000
0.5 + x2 + -0.125y2 + 0.4444444444z2 = 0.000 + -0.4444444444z2 + 0.4444444444z2
0.5 + x2 + -0.125y2 + 0.4444444444z2 = -0.4444444444z2 + 0.4444444444z2

Combine like terms: -0.4444444444z2 + 0.4444444444z2 = 0.0000000000
0.5 + x2 + -0.125y2 + 0.4444444444z2 = 0.0000000000

The solution to this equation could not be determined.

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