2(y+2)(y+2)=0

Solution for 2(y+2)(y+2)=0 equation:

Simplifying
2(y + 2)(y + 2) = 0

Reorder the terms:
2(2 + y)(y + 2) = 0

Reorder the terms:
2(2 + y)(2 + y) = 0

Multiply (2 + y) * (2 + y)
2(2(2 + y) + y(2 + y)) = 0
2((2 * 2 + y * 2) + y(2 + y)) = 0
2((4 + 2y) + y(2 + y)) = 0
2(4 + 2y + (2 * y + y * y)) = 0
2(4 + 2y + (2y + y2)) = 0

Combine like terms: 2y + 2y = 4y
2(4 + 4y + y2) = 0
(4 * 2 + 4y * 2 + y2 * 2) = 0
(8 + 8y + 2y2) = 0

Solving
8 + 8y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4y + y2) = 0

Factor a trinomial.
2((2 + y)(2 + y)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-2, -2}