-5y(y+1)=5

Solution for -5y(y+1)=5 equation:

Simplifying
-5y(y + 1) = 5

Reorder the terms:
-5y(1 + y) = 5
(1 * -5y + y * -5y) = 5
(-5y + -5y2) = 5

Solving
-5y + -5y2 = 5

Solving for variable 'y'.

Reorder the terms:
-5 + -5y + -5y2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -5y + -5y2 = 0

Factor out the Greatest Common Factor (GCF), '-5'.
-5(1 + y + y2) = 0

Ignore the factor -5.
Subproblem 1
Set the factor '(1 + y + y2)' equal to zero and attempt to solve:

Simplifying
1 + y + y2 = 0

Solving
1 + y + y2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The y term is y.  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.
y + 0.25 + y2 = -1 + 0.25

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

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