5u^2+9u-44=0

Solution for 5u^2+9u-44=0 equation:

Simplifying
5u2 + 9u + -44 = 0

Reorder the terms:
-44 + 9u + 5u2 = 0

Solving
-44 + 9u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(11 + -5u) = 0

Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve:

Simplifying
-4 + -1u = 0

Solving
-4 + -1u = 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 + -1u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1u = 0 + 4
-1u = 0 + 4

Combine like terms: 0 + 4 = 4
-1u = 4

Divide each side by '-1'.
u = -4

Simplifying
u = -4
Subproblem 2
Set the factor '(11 + -5u)' equal to zero and attempt to solve:

Simplifying
11 + -5u = 0

Solving
11 + -5u = 0

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

Add '-11' to each side of the equation.
11 + -11 + -5u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5u = 0 + -11
-5u = 0 + -11

Combine like terms: 0 + -11 = -11
-5u = -11

Divide each side by '-5'.
u = 2.2

Simplifying
u = 2.2
Solution
u = {-4, 2.2}