u^2+77u+360=

Solution for u^2+77u+360= equation:

Simplifying
u2 + 77u + 360 = 0

Reorder the terms:
360 + 77u + u2 = 0

Solving
360 + 77u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(72 + u)(5 + u) = 0

Subproblem 1
Set the factor '(72 + u)' equal to zero and attempt to solve:

Simplifying
72 + u = 0

Solving
72 + u = 0

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

Add '-72' to each side of the equation.
72 + -72 + u = 0 + -72

Combine like terms: 72 + -72 = 0
0 + u = 0 + -72
u = 0 + -72

Combine like terms: 0 + -72 = -72
u = -72

Simplifying
u = -72
Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5
Solution
u = {-72, -5}