9(y+1)(y+1)-9=0

Solution for 9(y+1)(y+1)-9=0 equation:

Simplifying
9(y + 1)(y + 1) + -9 = 0

Reorder the terms:
9(1 + y)(y + 1) + -9 = 0

Reorder the terms:
9(1 + y)(1 + y) + -9 = 0

Multiply (1 + y) * (1 + y)
9(1(1 + y) + y(1 + y)) + -9 = 0
9((1 * 1 + y * 1) + y(1 + y)) + -9 = 0
9((1 + 1y) + y(1 + y)) + -9 = 0
9(1 + 1y + (1 * y + y * y)) + -9 = 0
9(1 + 1y + (1y + y2)) + -9 = 0

Combine like terms: 1y + 1y = 2y
9(1 + 2y + y2) + -9 = 0
(1 * 9 + 2y * 9 + y2 * 9) + -9 = 0
(9 + 18y + 9y2) + -9 = 0

Reorder the terms:
9 + -9 + 18y + 9y2 = 0

Combine like terms: 9 + -9 = 0
0 + 18y + 9y2 = 0
18y + 9y2 = 0

Solving
18y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9y'.
9y(2 + y) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

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

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

Simplifying
y = -2
Solution
y = {0, -2}