15b^2+33b+6=0

Solution for 15b^2+33b+6=0 equation:

Simplifying
15b2 + 33b + 6 = 0

Reorder the terms:
6 + 33b + 15b2 = 0

Solving
6 + 33b + 15b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 11b + 5b2) = 0

Factor a trinomial.
3((2 + b)(1 + 5b)) = 0

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

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Subproblem 2
Set the factor '(1 + 5b)' equal to zero and attempt to solve:

Simplifying
1 + 5b = 0

Solving
1 + 5b = 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 + 5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5b = 0 + -1
5b = 0 + -1

Combine like terms: 0 + -1 = -1
5b = -1

Divide each side by '5'.
b = -0.2

Simplifying
b = -0.2
Solution
b = {-2, -0.2}