y(y+18)=-56

Solution for y(y+18)=-56 equation:

Simplifying
y(y + 18) = -56

Reorder the terms:
y(18 + y) = -56
(18 * y + y * y) = -56
(18y + y2) = -56

Solving
18y + y2 = -56

Solving for variable 'y'.

Reorder the terms:
56 + 18y + y2 = -56 + 56

Combine like terms: -56 + 56 = 0
56 + 18y + y2 = 0

Factor a trinomial.
(14 + y)(4 + y) = 0

Subproblem 1
Set the factor '(14 + y)' equal to zero and attempt to solve:

Simplifying
14 + y = 0

Solving
14 + y = 0

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

Add '-14' to each side of the equation.
14 + -14 + y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + y = 0 + -14
y = 0 + -14

Combine like terms: 0 + -14 = -14
y = -14

Simplifying
y = -14
Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Simplifying
y = -4
Solution
y = {-14, -4}