3b^2+17b+24=0

Solution for 3b^2+17b+24=0 equation:

Simplifying
3b2 + 17b + 24 = 0

Reorder the terms:
24 + 17b + 3b2 = 0

Solving
24 + 17b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + b)(8 + 3b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + 3b)' equal to zero and attempt to solve:

Simplifying
8 + 3b = 0

Solving
8 + 3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3b = 0 + -8
3b = 0 + -8

Combine like terms: 0 + -8 = -8
3b = -8

Divide each side by '3'.
b = -2.666666667

Simplifying
b = -2.666666667
Solution
b = {-3, -2.666666667}