9y^2-4y+12=0

Solution for 9y^2-4y+12=0 equation:

Simplifying
9y2 + -4y + 12 = 0

Reorder the terms:
12 + -4y + 9y2 = 0

Solving
12 + -4y + 9y2 = 0

Solving for variable 'y'.

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

Divide each side by '9'.
1.333333333 + -0.4444444444y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.4444444444y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.4444444444y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.4444444444y + y2 = 0 + -1.333333333
-0.4444444444y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.4444444444y + y2 = -1.333333333

The y term is -0.4444444444y.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444y + 0.04938271604 + y2 = -1.333333333 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444y + y2 = -1.333333333 + 0.04938271604

Combine like terms: -1.333333333 + 0.04938271604 = -1.28395061696
0.04938271604 + -0.4444444444y + y2 = -1.28395061696

Factor a perfect square on the left side:
(y + -0.2222222222)(y + -0.2222222222) = -1.28395061696

Can't calculate square root of the right side.

The solution to this equation could not be determined.