5b^2-32b+20=8

Solution for 5b^2-32b+20=8 equation:

Simplifying
5b2 + -32b + 20 = 8

Reorder the terms:
20 + -32b + 5b2 = 8

Solving
20 + -32b + 5b2 = 8

Solving for variable 'b'.

Reorder the terms:
20 + -8 + -32b + 5b2 = 8 + -8

Combine like terms: 20 + -8 = 12
12 + -32b + 5b2 = 8 + -8

Combine like terms: 8 + -8 = 0
12 + -32b + 5b2 = 0

Factor a trinomial.
(2 + -5b)(6 + -1b) = 0

Subproblem 1
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5b = 0 + -2
-5b = 0 + -2

Combine like terms: 0 + -2 = -2
-5b = -2

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
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 = {0.4, 6}