u^2+19u+60=0

Solution for u^2+19u+60=0 equation:

Simplifying
u2 + 19u + 60 = 0

Reorder the terms:
60 + 19u + u2 = 0

Solving
60 + 19u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(15 + u)(4 + u) = 0

Subproblem 1
Set the factor '(15 + u)' equal to zero and attempt to solve:

Simplifying
15 + u = 0

Solving
15 + u = 0

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

Add '-15' to each side of the equation.
15 + -15 + u = 0 + -15

Combine like terms: 15 + -15 = 0
0 + u = 0 + -15
u = 0 + -15

Combine like terms: 0 + -15 = -15
u = -15

Simplifying
u = -15
Subproblem 2
Set the factor '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

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

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

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

Simplifying
u = -4
Solution
u = {-15, -4}