(5u-9)(2-u)=0

Solution for (5u-9)(2-u)=0 equation:

Simplifying
(5u + -9)(2 + -1u) = 0

Reorder the terms:
(-9 + 5u)(2 + -1u) = 0

Multiply (-9 + 5u) * (2 + -1u)
(-9(2 + -1u) + 5u * (2 + -1u)) = 0
((2 * -9 + -1u * -9) + 5u * (2 + -1u)) = 0
((-18 + 9u) + 5u * (2 + -1u)) = 0
(-18 + 9u + (2 * 5u + -1u * 5u)) = 0
(-18 + 9u + (10u + -5u2)) = 0

Combine like terms: 9u + 10u = 19u
(-18 + 19u + -5u2) = 0

Solving
-18 + 19u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + u)(9 + -5u) = 0

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

Simplifying
-2 + u = 0

Solving
-2 + u = 0

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

Add '2' to each side of the equation.
-2 + 2 + u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + u = 0 + 2
u = 0 + 2

Combine like terms: 0 + 2 = 2
u = 2

Simplifying
u = 2
Subproblem 2
Set the factor '(9 + -5u)' equal to zero and attempt to solve:

Simplifying
9 + -5u = 0

Solving
9 + -5u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5u = 0 + -9
-5u = 0 + -9

Combine like terms: 0 + -9 = -9
-5u = -9

Divide each side by '-5'.
u = 1.8

Simplifying
u = 1.8
Solution
u = {2, 1.8}