y(y-1)=-6

Solution for y(y-1)=-6 equation:

Simplifying
y(y + -1) = -6

Reorder the terms:
y(-1 + y) = -6
(-1 * y + y * y) = -6
(-1y + y2) = -6

Solving
-1y + y2 = -6

Solving for variable 'y'.

Reorder the terms:
6 + -1y + y2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -1y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -1y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y + y2 = 0 + -6
-1y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1y + y2 = -6

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -6 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + -1y + y2 = -5.75

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.