14b^2-44b-48=0

Solution for 14b^2-44b-48=0 equation:

Simplifying
14b2 + -44b + -48 = 0

Reorder the terms:
-48 + -44b + 14b2 = 0

Solving
-48 + -44b + 14b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -22b + 7b2) = 0

Factor a trinomial.
2((-6 + -7b)(4 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -7b)' equal to zero and attempt to solve:

Simplifying
-6 + -7b = 0

Solving
-6 + -7b = 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 + -7b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7b = 0 + 6
-7b = 0 + 6

Combine like terms: 0 + 6 = 6
-7b = 6

Divide each side by '-7'.
b = -0.8571428571

Simplifying
b = -0.8571428571
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

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

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

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

Simplifying
b = 4
Solution
b = {-0.8571428571, 4}