4x^2-6y^2+3z^2=0

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Solution for 4x^2-6y^2+3z^2=0 equation:


Simplifying
4x2 + -6y2 + 3z2 = 0

Solving
4x2 + -6y2 + 3z2 = 0

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.
4x2 + -6y2 + 6y2 + 3z2 = 0 + 6y2

Combine like terms: -6y2 + 6y2 = 0
4x2 + 0 + 3z2 = 0 + 6y2
4x2 + 3z2 = 0 + 6y2
Remove the zero:
4x2 + 3z2 = 6y2

Add '-3z2' to each side of the equation.
4x2 + 3z2 + -3z2 = 6y2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
4x2 + 0 = 6y2 + -3z2
4x2 = 6y2 + -3z2

Divide each side by '4'.
x2 = 1.5y2 + -0.75z2

Simplifying
x2 = 1.5y2 + -0.75z2

Reorder the terms:
x2 + -1.5y2 + 0.75z2 = 1.5y2 + -1.5y2 + -0.75z2 + 0.75z2

Combine like terms: 1.5y2 + -1.5y2 = 0.0
x2 + -1.5y2 + 0.75z2 = 0.0 + -0.75z2 + 0.75z2
x2 + -1.5y2 + 0.75z2 = -0.75z2 + 0.75z2

Combine like terms: -0.75z2 + 0.75z2 = 0.00
x2 + -1.5y2 + 0.75z2 = 0.00

The solution to this equation could not be determined.

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