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

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

Simplifying
2x2 + 3y2 + -6 = 0

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

Solving
-6 + 2x2 + 3y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 2x2 + 6 + 3y2 = 0 + 6

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

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

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

Add '-3y2' to each side of the equation.
2x2 + 3y2 + -3y2 = 6 + -3y2

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

Divide each side by '2'.
x2 = 3 + -1.5y2

Simplifying
x2 = 3 + -1.5y2

Reorder the terms:
-3 + x2 + 1.5y2 = 3 + -1.5y2 + -3 + 1.5y2

Reorder the terms:
-3 + x2 + 1.5y2 = 3 + -3 + -1.5y2 + 1.5y2

Combine like terms: 3 + -3 = 0
-3 + x2 + 1.5y2 = 0 + -1.5y2 + 1.5y2
-3 + x2 + 1.5y2 = -1.5y2 + 1.5y2

Combine like terms: -1.5y2 + 1.5y2 = 0.0
-3 + x2 + 1.5y2 = 0.0

The solution to this equation could not be determined.