2x^2+3y+6=0

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

Simplifying
2x2 + 3y + 6 = 0

Reorder the terms:
6 + 2x2 + 3y = 0

Solving
6 + 2x2 + 3y = 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 + 3y = 0 + -6

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

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

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

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

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

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

Simplifying
x2 = -3 + -1.5y

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

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

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

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

The solution to this equation could not be determined.