5y-2y^2-12=0

Solution for 5y-2y^2-12=0 equation:

Simplifying
5y + -2y2 + -12 = 0

Reorder the terms:
-12 + 5y + -2y2 = 0

Solving
-12 + 5y + -2y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
6 + -2.5y + y2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2.5y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -2.5y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2.5y + y2 = 0 + -6
-2.5y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2.5y + y2 = -6

The y term is -2.5y.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5y + 1.5625 + y2 = -6 + 1.5625

Reorder the terms:
1.5625 + -2.5y + y2 = -6 + 1.5625

Combine like terms: -6 + 1.5625 = -4.4375
1.5625 + -2.5y + y2 = -4.4375

Factor a perfect square on the left side:
(y + -1.25)(y + -1.25) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.