(y+6)(y+2)=0

Solution for (y+6)(y+2)=0 equation:

Simplifying
(y + 6)(y + 2) = 0

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

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

Multiply (6 + y) * (2 + y)
(6(2 + y) + y(2 + y)) = 0
((2 * 6 + y * 6) + y(2 + y)) = 0
((12 + 6y) + y(2 + y)) = 0
(12 + 6y + (2 * y + y * y)) = 0
(12 + 6y + (2y + y2)) = 0

Combine like terms: 6y + 2y = 8y
(12 + 8y + y2) = 0

Solving
12 + 8y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
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 = {-6, -2}