(u-5)(u-6)=

Solution for (u-5)(u-6)= 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.
(5 + -1u)(6 + -1u) = 0

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

Simplifying
5 + -1u = 0

Solving
5 + -1u = 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 + -1u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u = 0 + -5
-1u = 0 + -5

Combine like terms: 0 + -5 = -5
-1u = -5

Divide each side by '-1'.
u = 5

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

Simplifying
6 + -1u = 0

Solving
6 + -1u = 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 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

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