(y+2)(y+9)=

Solution for (y+2)(y+9)= equation:

Simplifying
(y + 2)(y + 9) = 0

Reorder the terms:
(2 + y)(y + 9) = 0

Reorder the terms:
(2 + y)(9 + y) = 0

Multiply (2 + y) * (9 + y)
(2(9 + y) + y(9 + y)) = 0
((9 * 2 + y * 2) + y(9 + y)) = 0
((18 + 2y) + y(9 + y)) = 0
(18 + 2y + (9 * y + y * y)) = 0
(18 + 2y + (9y + y2)) = 0

Combine like terms: 2y + 9y = 11y
(18 + 11y + y2) = 0

Solving
18 + 11y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve:

Simplifying
9 + y = 0

Solving
9 + y = 0

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

Add '-9' to each side of the equation.
9 + -9 + y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + y = 0 + -9
y = 0 + -9

Combine like terms: 0 + -9 = -9
y = -9

Simplifying
y = -9
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 = {-9, -2}