24b^2-73b+24=0

Solution for 24b^2-73b+24=0 equation:

Simplifying
24b2 + -73b + 24 = 0

Reorder the terms:
24 + -73b + 24b2 = 0

Solving
24 + -73b + 24b2 = 0

Solving for variable 'b'.

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

Subproblem 1
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
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 = {0.375, 2.666666667}