y(y+11)=-10

Solution for y(y+11)=-10 equation:

Simplifying
y(y + 11) = -10

Reorder the terms:
y(11 + y) = -10
(11 * y + y * y) = -10
(11y + y2) = -10

Solving
11y + y2 = -10

Solving for variable 'y'.

Reorder the terms:
10 + 11y + y2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 11y + y2 = 0

Factor a trinomial.
(10 + y)(1 + 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 '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {-10, -1}