(y+5)(y+3)=

Solution for (y+5)(y+3)= equation:

Simplifying
(y + 5)(y + 3) = 0

Reorder the terms:
(5 + y)(y + 3) = 0

Reorder the terms:
(5 + y)(3 + y) = 0

Multiply (5 + y) * (3 + y)
(5(3 + y) + y(3 + y)) = 0
((3 * 5 + y * 5) + y(3 + y)) = 0
((15 + 5y) + y(3 + y)) = 0
(15 + 5y + (3 * y + y * y)) = 0
(15 + 5y + (3y + y2)) = 0

Combine like terms: 5y + 3y = 8y
(15 + 8y + y2) = 0

Solving
15 + 8y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + y)(3 + y) = 0

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

Simplifying
5 + y = 0

Solving
5 + y = 0

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

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

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

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

Simplifying
y = -5
Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

Add '-3' to each side of the equation.
3 + -3 + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Solution
y = {-5, -3}