(5u-2)(5-u)=0

Solution for (5u-2)(5-u)=0 equation:

Simplifying
(5u + -2)(5 + -1u) = 0

Reorder the terms:
(-2 + 5u)(5 + -1u) = 0

Multiply (-2 + 5u) * (5 + -1u)
(-2(5 + -1u) + 5u * (5 + -1u)) = 0
((5 * -2 + -1u * -2) + 5u * (5 + -1u)) = 0
((-10 + 2u) + 5u * (5 + -1u)) = 0
(-10 + 2u + (5 * 5u + -1u * 5u)) = 0
(-10 + 2u + (25u + -5u2)) = 0

Combine like terms: 2u + 25u = 27u
(-10 + 27u + -5u2) = 0

Solving
-10 + 27u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + u)(2 + -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 '(2 + -5u)' equal to zero and attempt to solve:

Simplifying
2 + -5u = 0

Solving
2 + -5u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5u = 0 + -2
-5u = 0 + -2

Combine like terms: 0 + -2 = -2
-5u = -2

Divide each side by '-5'.
u = 0.4

Simplifying
u = 0.4
Solution
u = {5, 0.4}