3b^2+22b+40=0

Solution for 3b^2+22b+40=0 equation:

Simplifying
3b2 + 22b + 40 = 0

Reorder the terms:
40 + 22b + 3b2 = 0

Solving
40 + 22b + 3b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve:

Simplifying
4 + b = 0

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

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

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

Simplifying
b = -4
Subproblem 2
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
Solution
b = {-4, -3.333333333}