2x^2-3y^2=-12

Solution for 2x^2-3y^2=-12 equation:

Simplifying
2x2 + -3y2 = -12

Solving
2x2 + -3y2 = -12

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.
2x2 + -3y2 + 3y2 = -12 + 3y2

Combine like terms: -3y2 + 3y2 = 0
2x2 + 0 = -12 + 3y2
2x2 = -12 + 3y2

Divide each side by '2'.
x2 = -6 + 1.5y2

Simplifying
x2 = -6 + 1.5y2

Reorder the terms:
6 + x2 + -1.5y2 = -6 + 1.5y2 + 6 + -1.5y2

Reorder the terms:
6 + x2 + -1.5y2 = -6 + 6 + 1.5y2 + -1.5y2

Combine like terms: -6 + 6 = 0
6 + x2 + -1.5y2 = 0 + 1.5y2 + -1.5y2
6 + x2 + -1.5y2 = 1.5y2 + -1.5y2

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

The solution to this equation could not be determined.