(5u-4)(3-u)=0

Solution for (5u-4)(3-u)=0 equation:

Simplifying
(5u + -4)(3 + -1u) = 0

Reorder the terms:
(-4 + 5u)(3 + -1u) = 0

Multiply (-4 + 5u) * (3 + -1u)
(-4(3 + -1u) + 5u * (3 + -1u)) = 0
((3 * -4 + -1u * -4) + 5u * (3 + -1u)) = 0
((-12 + 4u) + 5u * (3 + -1u)) = 0
(-12 + 4u + (3 * 5u + -1u * 5u)) = 0
(-12 + 4u + (15u + -5u2)) = 0

Combine like terms: 4u + 15u = 19u
(-12 + 19u + -5u2) = 0

Solving
-12 + 19u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + u)(4 + -5u) = 0

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

Simplifying
-3 + u = 0

Solving
-3 + u = 0

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

Add '3' to each side of the equation.
-3 + 3 + u = 0 + 3

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

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

Simplifying
u = 3
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 = {3, 0.8}