-48b^2+28b+6=0

Solution for -48b^2+28b+6=0 equation:

Simplifying
-48b2 + 28b + 6 = 0

Reorder the terms:
6 + 28b + -48b2 = 0

Solving
6 + 28b + -48b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 14b + -24b2) = 0

Factor a trinomial.
2((3 + -4b)(1 + 6b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -4b)' equal to zero and attempt to solve:

Simplifying
3 + -4b = 0

Solving
3 + -4b = 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 + -4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4b = 0 + -3
-4b = 0 + -3

Combine like terms: 0 + -3 = -3
-4b = -3

Divide each side by '-4'.
b = 0.75

Simplifying
b = 0.75
Subproblem 2
Set the factor '(1 + 6b)' equal to zero and attempt to solve:

Simplifying
1 + 6b = 0

Solving
1 + 6b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6b = 0 + -1
6b = 0 + -1

Combine like terms: 0 + -1 = -1
6b = -1

Divide each side by '6'.
b = -0.1666666667

Simplifying
b = -0.1666666667
Solution
b = {0.75, -0.1666666667}