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

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

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

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

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

Combine like terms: -4u + 5u = 1u
(4 + 1u + -5u2) = 0

Solving
4 + 1u + -5u2 = 0

Solving for variable 'u'.

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

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

Simplifying
1 + -1u = 0

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

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

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

Divide each side by '-1'.
u = 1

Simplifying
u = 1
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 = {1, -0.8}