(y+5)(y+8)=

Solution for (y+5)(y+8)= equation:

Simplifying
(y + 5)(y + 8) = 0

Reorder the terms:
(5 + y)(y + 8) = 0

Reorder the terms:
(5 + y)(8 + y) = 0

Multiply (5 + y) * (8 + y)
(5(8 + y) + y(8 + y)) = 0
((8 * 5 + y * 5) + y(8 + y)) = 0
((40 + 5y) + y(8 + y)) = 0
(40 + 5y + (8 * y + y * y)) = 0
(40 + 5y + (8y + y2)) = 0

Combine like terms: 5y + 8y = 13y
(40 + 13y + y2) = 0

Solving
40 + 13y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

Add '-8' to each side of the equation.
8 + -8 + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y = 0 + -8
y = 0 + -8

Combine like terms: 0 + -8 = -8
y = -8

Simplifying
y = -8
Subproblem 2
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
Solution
y = {-8, -5}