8b^2+67b+24=0

Solution for 8b^2+67b+24=0 equation:

Simplifying
8b2 + 67b + 24 = 0

Reorder the terms:
24 + 67b + 8b2 = 0

Solving
24 + 67b + 8b2 = 0

Solving for variable 'b'.

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

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

Simplifying
8 + b = 0

Solving
8 + b = 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 + b = 0 + -8

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

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

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

Simplifying
3 + 8b = 0

Solving
3 + 8b = 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 + 8b = 0 + -3

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

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

Divide each side by '8'.
b = -0.375

Simplifying
b = -0.375
Solution
b = {-8, -0.375}