(5u-1)(5-u)=0

Solution for (5u-1)(5-u)=0 equation:

Simplifying
(5u + -1)(5 + -1u) = 0

Reorder the terms:
(-1 + 5u)(5 + -1u) = 0

Multiply (-1 + 5u) * (5 + -1u)
(-1(5 + -1u) + 5u * (5 + -1u)) = 0
((5 * -1 + -1u * -1) + 5u * (5 + -1u)) = 0
((-5 + 1u) + 5u * (5 + -1u)) = 0
(-5 + 1u + (5 * 5u + -1u * 5u)) = 0
(-5 + 1u + (25u + -5u2)) = 0

Combine like terms: 1u + 25u = 26u
(-5 + 26u + -5u2) = 0

Solving
-5 + 26u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + u)(1 + -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 '(1 + -5u)' equal to zero and attempt to solve:

Simplifying
1 + -5u = 0

Solving
1 + -5u = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5u = 0 + -1

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

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

Divide each side by '-5'.
u = 0.2

Simplifying
u = 0.2
Solution
u = {5, 0.2}