44b^2-328b-192=0

Solution for 44b^2-328b-192=0 equation:

Simplifying
44b2 + -328b + -192 = 0

Reorder the terms:
-192 + -328b + 44b2 = 0

Solving
-192 + -328b + 44b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-48 + -82b + 11b2) = 0

Factor a trinomial.
4((-6 + -11b)(8 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -11b)' equal to zero and attempt to solve:

Simplifying
-6 + -11b = 0

Solving
-6 + -11b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -11b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11b = 0 + 6
-11b = 0 + 6

Combine like terms: 0 + 6 = 6
-11b = 6

Divide each side by '-11'.
b = -0.5454545455

Simplifying
b = -0.5454545455
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {-0.5454545455, 8}