6x^2+3y^2-z^2=0

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Solution for 6x^2+3y^2-z^2=0 equation: 


Simplifying
6x2 + 3y2 + -1z2 = 0

Solving
6x2 + 3y2 + -1z2 = 0

Solving for variable 'x'.

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

Add '-3y2' to each side of the equation.
6x2 + 3y2 + -3y2 + -1z2 = 0 + -3y2

Combine like terms: 3y2 + -3y2 = 0
6x2 + 0 + -1z2 = 0 + -3y2
6x2 + -1z2 = 0 + -3y2
Remove the zero:
6x2 + -1z2 = -3y2

Add 'z2' to each side of the equation.
6x2 + -1z2 + z2 = -3y2 + z2

Combine like terms: -1z2 + z2 = 0
6x2 + 0 = -3y2 + z2
6x2 = -3y2 + z2

Divide each side by '6'.
x2 = -0.5y2 + 0.1666666667z2

Simplifying
x2 = -0.5y2 + 0.1666666667z2

Reorder the terms:
x2 + 0.5y2 + -0.1666666667z2 = -0.5y2 + 0.5y2 + 0.1666666667z2 + -0.1666666667z2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
x2 + 0.5y2 + -0.1666666667z2 = 0.0 + 0.1666666667z2 + -0.1666666667z2
x2 + 0.5y2 + -0.1666666667z2 = 0.1666666667z2 + -0.1666666667z2

Combine like terms: 0.1666666667z2 + -0.1666666667z2 = 0.0000000000
x2 + 0.5y2 + -0.1666666667z2 = 0.0000000000

The solution to this equation could not be determined.

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