20b^2-156b-32=

Solution for 20b^2-156b-32= equation:

Simplifying
20b2 + -156b + -32 = 0

Reorder the terms:
-32 + -156b + 20b2 = 0

Solving
-32 + -156b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -39b + 5b2) = 0

Factor a trinomial.
4((-1 + -5b)(8 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -5b)' equal to zero and attempt to solve:

Simplifying
-1 + -5b = 0

Solving
-1 + -5b = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5b = 0 + 1
-5b = 0 + 1

Combine like terms: 0 + 1 = 1
-5b = 1

Divide each side by '-5'.
b = -0.2

Simplifying
b = -0.2
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 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 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {-0.2, 8}