35b^2-61b+24=0

Solution for 35b^2-61b+24=0 equation:

Simplifying
35b2 + -61b + 24 = 0

Reorder the terms:
24 + -61b + 35b2 = 0

Solving
24 + -61b + 35b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -5b)(8 + -7b) = 0

Subproblem 1
Set the factor '(3 + -5b)' equal to zero and attempt to solve:

Simplifying
3 + -5b = 0

Solving
3 + -5b = 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 + -5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5b = 0 + -3
-5b = 0 + -3

Combine like terms: 0 + -3 = -3
-5b = -3

Divide each side by '-5'.
b = 0.6

Simplifying
b = 0.6
Subproblem 2
Set the factor '(8 + -7b)' equal to zero and attempt to solve:

Simplifying
8 + -7b = 0

Solving
8 + -7b = 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 + -7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7b = 0 + -8
-7b = 0 + -8

Combine like terms: 0 + -8 = -8
-7b = -8

Divide each side by '-7'.
b = 1.142857143

Simplifying
b = 1.142857143
Solution
b = {0.6, 1.142857143}