2(y-1)y=-2

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Solution for 2(y-1)y=-2 equation: 


Simplifying
2(y + -1) * y = -2

Reorder the terms:
2(-1 + y) * y = -2

Reorder the terms for easier multiplication:
2y(-1 + y) = -2
(-1 * 2y + y * 2y) = -2
(-2y + 2y2) = -2

Solving
-2y + 2y2 = -2

Solving for variable 'y'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -1y + y2)' equal to zero and attempt to solve:

Simplifying
1 + -1y + y2 = 0

Solving
1 + -1y + y2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -1 + 0.25

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

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1y + y2 = -0.75

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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