(y+7)(y+2)=

Solution for (y+7)(y+2)= equation:

Simplifying
(y + 7)(y + 2) = 0

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

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

Multiply (7 + y) * (2 + y)
(7(2 + y) + y(2 + y)) = 0
((2 * 7 + y * 7) + y(2 + y)) = 0
((14 + 7y) + y(2 + y)) = 0
(14 + 7y + (2 * y + y * y)) = 0
(14 + 7y + (2y + y2)) = 0

Combine like terms: 7y + 2y = 9y
(14 + 9y + y2) = 0

Solving
14 + 9y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + y)(2 + 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 '(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 = {-7, -2}