8b^2+22b+12=-3

Solution for 8b^2+22b+12=-3 equation:

Simplifying
8b2 + 22b + 12 = -3

Reorder the terms:
12 + 22b + 8b2 = -3

Solving
12 + 22b + 8b2 = -3

Solving for variable 'b'.

Reorder the terms:
12 + 3 + 22b + 8b2 = -3 + 3

Combine like terms: 12 + 3 = 15
15 + 22b + 8b2 = -3 + 3

Combine like terms: -3 + 3 = 0
15 + 22b + 8b2 = 0

Factor a trinomial.
(3 + 2b)(5 + 4b) = 0

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

Simplifying
3 + 2b = 0

Solving
3 + 2b = 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 + 2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2b = 0 + -3
2b = 0 + -3

Combine like terms: 0 + -3 = -3
2b = -3

Divide each side by '2'.
b = -1.5

Simplifying
b = -1.5
Subproblem 2
Set the factor '(5 + 4b)' equal to zero and attempt to solve:

Simplifying
5 + 4b = 0

Solving
5 + 4b = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4b = 0 + -5
4b = 0 + -5

Combine like terms: 0 + -5 = -5
4b = -5

Divide each side by '4'.
b = -1.25

Simplifying
b = -1.25
Solution
b = {-1.5, -1.25}