(8-u)(3u-1)=0

Solution for (8-u)(3u-1)=0 equation:

Simplifying
(8 + -1u)(3u + -1) = 0

Reorder the terms:
(8 + -1u)(-1 + 3u) = 0

Multiply (8 + -1u) * (-1 + 3u)
(8(-1 + 3u) + -1u * (-1 + 3u)) = 0
((-1 * 8 + 3u * 8) + -1u * (-1 + 3u)) = 0
((-8 + 24u) + -1u * (-1 + 3u)) = 0
(-8 + 24u + (-1 * -1u + 3u * -1u)) = 0
(-8 + 24u + (1u + -3u2)) = 0

Combine like terms: 24u + 1u = 25u
(-8 + 25u + -3u2) = 0

Solving
-8 + 25u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + u)(1 + -3u) = 0

Subproblem 1
Set the factor '(-8 + u)' equal to zero and attempt to solve:

Simplifying
-8 + u = 0

Solving
-8 + u = 0

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

Add '8' to each side of the equation.
-8 + 8 + u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + u = 0 + 8
u = 0 + 8

Combine like terms: 0 + 8 = 8
u = 8

Simplifying
u = 8
Subproblem 2
Set the factor '(1 + -3u)' equal to zero and attempt to solve:

Simplifying
1 + -3u = 0

Solving
1 + -3u = 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 + -3u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3u = 0 + -1
-3u = 0 + -1

Combine like terms: 0 + -1 = -1
-3u = -1

Divide each side by '-3'.
u = 0.3333333333

Simplifying
u = 0.3333333333
Solution
u = {8, 0.3333333333}