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

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

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

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

Multiply (9 + u) * (2 + 5u)
(9(2 + 5u) + u(2 + 5u)) = 0
((2 * 9 + 5u * 9) + u(2 + 5u)) = 0
((18 + 45u) + u(2 + 5u)) = 0
(18 + 45u + (2 * u + 5u * u)) = 0
(18 + 45u + (2u + 5u2)) = 0

Combine like terms: 45u + 2u = 47u
(18 + 47u + 5u2) = 0

Solving
18 + 47u + 5u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(9 + u)' equal to zero and attempt to solve:

Simplifying
9 + u = 0

Solving
9 + u = 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 + u = 0 + -9

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

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

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

Simplifying
2 + 5u = 0

Solving
2 + 5u = 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 + 5u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5u = 0 + -2
5u = 0 + -2

Combine like terms: 0 + -2 = -2
5u = -2

Divide each side by '5'.
u = -0.4

Simplifying
u = -0.4
Solution
u = {-9, -0.4}