b^2f^2+14bf+48=

Solution for b^2f^2+14bf+48= equation:

Simplifying
b2f2 + 14bf + 48 = 0

Reorder the terms:
48 + 14bf + b2f2 = 0

Solving
48 + 14bf + b2f2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + bf)(6 + bf) = 0

Subproblem 1
Set the factor '(8 + bf)' equal to zero and attempt to solve:

Simplifying
8 + bf = 0

Solving
8 + bf = 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 + bf = 0 + -8

Combine like terms: 8 + -8 = 0
0 + bf = 0 + -8
bf = 0 + -8

Combine like terms: 0 + -8 = -8
bf = -8

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

Simplifying
b = -8f-1
Subproblem 2
Set the factor '(6 + bf)' equal to zero and attempt to solve:

Simplifying
6 + bf = 0

Solving
6 + bf = 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 + bf = 0 + -6

Combine like terms: 6 + -6 = 0
0 + bf = 0 + -6
bf = 0 + -6

Combine like terms: 0 + -6 = -6
bf = -6

Divide each side by 'f'.
b = -6f-1

Simplifying
b = -6f-1
Solution
b = {-8f-1, -6f-1}