3b^2+19b+30=0

Solution for 3b^2+19b+30=0 equation:

Simplifying
3b2 + 19b + 30 = 0

Reorder the terms:
30 + 19b + 3b2 = 0

Solving
30 + 19b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(10 + 3b)(3 + b) = 0

Subproblem 1
Set the factor '(10 + 3b)' equal to zero and attempt to solve:

Simplifying
10 + 3b = 0

Solving
10 + 3b = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3b = 0 + -10
3b = 0 + -10

Combine like terms: 0 + -10 = -10
3b = -10

Divide each side by '3'.
b = -3.333333333

Simplifying
b = -3.333333333
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

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

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

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

Simplifying
b = -3
Solution
b = {-3.333333333, -3}