9b^2-35b+24=0

Solution for 9b^2-35b+24=0 equation:

Simplifying
9b2 + -35b + 24 = 0

Reorder the terms:
24 + -35b + 9b2 = 0

Solving
24 + -35b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + -9b)(3 + -1b) = 0

Subproblem 1
Set the factor '(8 + -9b)' equal to zero and attempt to solve:

Simplifying
8 + -9b = 0

Solving
8 + -9b = 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 + -9b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9b = 0 + -8
-9b = 0 + -8

Combine like terms: 0 + -8 = -8
-9b = -8

Divide each side by '-9'.
b = 0.8888888889

Simplifying
b = 0.8888888889
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {0.8888888889, 3}