(4u+9)(1-u)=0

Solution for (4u+9)(1-u)=0 equation:

Simplifying
(4u + 9)(1 + -1u) = 0

Reorder the terms:
(9 + 4u)(1 + -1u) = 0

Multiply (9 + 4u) * (1 + -1u)
(9(1 + -1u) + 4u * (1 + -1u)) = 0
((1 * 9 + -1u * 9) + 4u * (1 + -1u)) = 0
((9 + -9u) + 4u * (1 + -1u)) = 0
(9 + -9u + (1 * 4u + -1u * 4u)) = 0
(9 + -9u + (4u + -4u2)) = 0

Combine like terms: -9u + 4u = -5u
(9 + -5u + -4u2) = 0

Solving
9 + -5u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -1u)(9 + 4u) = 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 '(9 + 4u)' equal to zero and attempt to solve:

Simplifying
9 + 4u = 0

Solving
9 + 4u = 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 + 4u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4u = 0 + -9
4u = 0 + -9

Combine like terms: 0 + -9 = -9
4u = -9

Divide each side by '4'.
u = -2.25

Simplifying
u = -2.25
Solution
u = {1, -2.25}