2y^2-2y=-1

Solution for 2y^2-2y=-1 equation:

Simplifying
2y2 + -2y = -1

Reorder the terms:
-2y + 2y2 = -1

Solving
-2y + 2y2 = -1

Solving for variable 'y'.

Reorder the terms:
1 + -2y + 2y2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -2y + 2y2 = 0

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

Divide each side by '2'.
0.5 + -1y + y2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1y + -0.5 + y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1y + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1y + y2 = 0 + -0.5
-1y + y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1y + y2 = -0.5

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 = -0.5 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1y + y2 = -0.25

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.