(4-U)(5U-1)=0

Solution for (4-U)(5U-1)=0 equation:

Simplifying
(4 + -1U)(5U + -1) = 0

Reorder the terms:
(4 + -1U)(-1 + 5U) = 0

Multiply (4 + -1U) * (-1 + 5U)
(4(-1 + 5U) + -1U * (-1 + 5U)) = 0
((-1 * 4 + 5U * 4) + -1U * (-1 + 5U)) = 0
((-4 + 20U) + -1U * (-1 + 5U)) = 0
(-4 + 20U + (-1 * -1U + 5U * -1U)) = 0
(-4 + 20U + (1U + -5U2)) = 0

Combine like terms: 20U + 1U = 21U
(-4 + 21U + -5U2) = 0

Solving
-4 + 21U + -5U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-4 + U)(1 + -5U) = 0

Subproblem 1
Set the factor '(-4 + U)' equal to zero and attempt to solve:

Simplifying
-4 + U = 0

Solving
-4 + U = 0

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

Add '4' to each side of the equation.
-4 + 4 + U = 0 + 4

Combine like terms: -4 + 4 = 0
0 + U = 0 + 4
U = 0 + 4

Combine like terms: 0 + 4 = 4
U = 4

Simplifying
U = 4
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 = {4, 0.2}