y(2-3y)+3(y-4)=0

Solution for y(2-3y)+3(y-4)=0 equation:

Simplifying
y(2 + -3y) + 3(y + -4) = 0
(2 * y + -3y * y) + 3(y + -4) = 0
(2y + -3y2) + 3(y + -4) = 0

Reorder the terms:
2y + -3y2 + 3(-4 + y) = 0
2y + -3y2 + (-4 * 3 + y * 3) = 0
2y + -3y2 + (-12 + 3y) = 0

Reorder the terms:
-12 + 2y + 3y + -3y2 = 0

Combine like terms: 2y + 3y = 5y
-12 + 5y + -3y2 = 0

Solving
-12 + 5y + -3y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
4 + -1.666666667y + y2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1.666666667y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + -1.666666667y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1.666666667y + y2 = 0 + -4
-1.666666667y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1.666666667y + y2 = -4

The y term is -1.666666667y.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667y + 0.6944444447 + y2 = -4 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667y + y2 = -4 + 0.6944444447

Combine like terms: -4 + 0.6944444447 = -3.3055555553
0.6944444447 + -1.666666667y + y2 = -3.3055555553

Factor a perfect square on the left side:
(y + -0.8333333335)(y + -0.8333333335) = -3.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.