y(y+15)=-50

Solution for y(y+15)=-50 equation:

Simplifying
y(y + 15) = -50

Reorder the terms:
y(15 + y) = -50
(15 * y + y * y) = -50
(15y + y2) = -50

Solving
15y + y2 = -50

Solving for variable 'y'.

Reorder the terms:
50 + 15y + y2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + 15y + y2 = 0

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

Subproblem 1
Set the factor '(10 + y)' equal to zero and attempt to solve:

Simplifying
10 + y = 0

Solving
10 + y = 0

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

Add '-10' to each side of the equation.
10 + -10 + y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + y = 0 + -10
y = 0 + -10

Combine like terms: 0 + -10 = -10
y = -10

Simplifying
y = -10
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 = {-10, -5}