8b^2-53b+30=0

Solution for 8b^2-53b+30=0 equation:

Simplifying
8b2 + -53b + 30 = 0

Reorder the terms:
30 + -53b + 8b2 = 0

Solving
30 + -53b + 8b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + -8b)(6 + -1b) = 0

Subproblem 1
Set the factor '(5 + -8b)' equal to zero and attempt to solve:

Simplifying
5 + -8b = 0

Solving
5 + -8b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8b = 0 + -5
-8b = 0 + -5

Combine like terms: 0 + -5 = -5
-8b = -5

Divide each side by '-8'.
b = 0.625

Simplifying
b = 0.625
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {0.625, 6}