y(y)+14y+13=0

Solution for y(y)+14y+13=0 equation:

Simplifying
y(y) + 14y + 13 = 0

Multiply y * y
y2 + 14y + 13 = 0

Reorder the terms:
13 + 14y + y2 = 0

Solving
13 + 14y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(13 + y)(1 + y) = 0

Subproblem 1
Set the factor '(13 + y)' equal to zero and attempt to solve:

Simplifying
13 + y = 0

Solving
13 + y = 0

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

Add '-13' to each side of the equation.
13 + -13 + y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + y = 0 + -13
y = 0 + -13

Combine like terms: 0 + -13 = -13
y = -13

Simplifying
y = -13
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 = {-13, -1}