44b^2-116b-48=

Solution for 44b^2-116b-48= equation:

Simplifying
44b2 + -116b + -48 = 0

Reorder the terms:
-48 + -116b + 44b2 = 0

Solving
-48 + -116b + 44b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -29b + 11b2) = 0

Factor a trinomial.
4((-4 + -11b)(3 + -1b)) = 0

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

Simplifying
-4 + -11b = 0

Solving
-4 + -11b = 0

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

Add '4' to each side of the equation.
-4 + 4 + -11b = 0 + 4

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

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

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

Simplifying
b = -0.3636363636
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-0.3636363636, 3}