(y+5)(y+7)=

Solution for (y+5)(y+7)= equation:

Simplifying
(y + 5)(y + 7) = 0

Reorder the terms:
(5 + y)(y + 7) = 0

Reorder the terms:
(5 + y)(7 + y) = 0

Multiply (5 + y) * (7 + y)
(5(7 + y) + y(7 + y)) = 0
((7 * 5 + y * 5) + y(7 + y)) = 0
((35 + 5y) + y(7 + y)) = 0
(35 + 5y + (7 * y + y * y)) = 0
(35 + 5y + (7y + y2)) = 0

Combine like terms: 5y + 7y = 12y
(35 + 12y + y2) = 0

Solving
35 + 12y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 0

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

Add '-7' to each side of the equation.
7 + -7 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Simplifying
y = -7
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 = {-7, -5}