(u+5)(u+6)=0

Solution for (u+5)(u+6)=0 equation:

Simplifying
(u + 5)(u + 6) = 0

Reorder the terms:
(5 + u)(u + 6) = 0

Reorder the terms:
(5 + u)(6 + u) = 0

Multiply (5 + u) * (6 + u)
(5(6 + u) + u(6 + u)) = 0
((6 * 5 + u * 5) + u(6 + u)) = 0
((30 + 5u) + u(6 + u)) = 0
(30 + 5u + (6 * u + u * u)) = 0
(30 + 5u + (6u + u2)) = 0

Combine like terms: 5u + 6u = 11u
(30 + 11u + u2) = 0

Solving
30 + 11u + u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(6 + u)' equal to zero and attempt to solve:

Simplifying
6 + u = 0

Solving
6 + u = 0

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

Add '-6' to each side of the equation.
6 + -6 + u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + u = 0 + -6
u = 0 + -6

Combine like terms: 0 + -6 = -6
u = -6

Simplifying
u = -6
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 = {-6, -5}