(6-u)(5u-4)=0

Solution for (6-u)(5u-4)=0 equation:

Simplifying
(6 + -1u)(5u + -4) = 0

Reorder the terms:
(6 + -1u)(-4 + 5u) = 0

Multiply (6 + -1u) * (-4 + 5u)
(6(-4 + 5u) + -1u * (-4 + 5u)) = 0
((-4 * 6 + 5u * 6) + -1u * (-4 + 5u)) = 0
((-24 + 30u) + -1u * (-4 + 5u)) = 0
(-24 + 30u + (-4 * -1u + 5u * -1u)) = 0
(-24 + 30u + (4u + -5u2)) = 0

Combine like terms: 30u + 4u = 34u
(-24 + 34u + -5u2) = 0

Solving
-24 + 34u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + u)(4 + -5u) = 0

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

Simplifying
-6 + u = 0

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

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

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

Simplifying
u = 6
Subproblem 2
Set the factor '(4 + -5u)' equal to zero and attempt to solve:

Simplifying
4 + -5u = 0

Solving
4 + -5u = 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 + -5u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5u = 0 + -4
-5u = 0 + -4

Combine like terms: 0 + -4 = -4
-5u = -4

Divide each side by '-5'.
u = 0.8

Simplifying
u = 0.8
Solution
u = {6, 0.8}