44u^2+28u-16=0

Solution for 44u^2+28u-16=0 equation:

Simplifying
44u2 + 28u + -16 = 0

Reorder the terms:
-16 + 28u + 44u2 = 0

Solving
-16 + 28u + 44u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 7u + 11u2) = 0

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

Ignore the factor 4.
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 + -11u)' equal to zero and attempt to solve:

Simplifying
4 + -11u = 0

Solving
4 + -11u = 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 + -11u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11u = 0 + -4
-11u = 0 + -4

Combine like terms: 0 + -4 = -4
-11u = -4

Divide each side by '-11'.
u = 0.3636363636

Simplifying
u = 0.3636363636
Solution
u = {-1, 0.3636363636}