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

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

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

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

Multiply (5 + u) * (6 + 5u)
(5(6 + 5u) + u(6 + 5u)) = 0
((6 * 5 + 5u * 5) + u(6 + 5u)) = 0
((30 + 25u) + u(6 + 5u)) = 0
(30 + 25u + (6 * u + 5u * u)) = 0
(30 + 25u + (6u + 5u2)) = 0

Combine like terms: 25u + 6u = 31u
(30 + 31u + 5u2) = 0

Solving
30 + 31u + 5u2 = 0

Solving for variable 'u'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + 5u)' equal to zero and attempt to solve:

Simplifying
6 + 5u = 0

Solving
6 + 5u = 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 + 5u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5u = 0 + -6
5u = 0 + -6

Combine like terms: 0 + -6 = -6
5u = -6

Divide each side by '5'.
u = -1.2

Simplifying
u = -1.2
Solution
u = {-5, -1.2}