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

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

Simplifying
6y2 + -2x2 + 3y2 = 0

Reorder the terms:
-2x2 + 6y2 + 3y2 = 0

Combine like terms: 6y2 + 3y2 = 9y2
-2x2 + 9y2 = 0

Solving
-2x2 + 9y2 = 0

Solving for variable 'x'.

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

Add '-9y2' to each side of the equation.
-2x2 + 9y2 + -9y2 = 0 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-2x2 + 0 = 0 + -9y2
-2x2 = 0 + -9y2
Remove the zero:
-2x2 = -9y2

Divide each side by '-2'.
x2 = 4.5y2

Simplifying
x2 = 4.5y2

Take the square root of each side:
x = {-2.121320344y, 2.121320344y}