20b^2-116b-168=

Solution for 20b^2-116b-168= equation:

Simplifying
20b2 + -116b + -168 = 0

Reorder the terms:
-168 + -116b + 20b2 = 0

Solving
-168 + -116b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-42 + -29b + 5b2) = 0

Factor a trinomial.
4((-6 + -5b)(7 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -5b)' equal to zero and attempt to solve:

Simplifying
-6 + -5b = 0

Solving
-6 + -5b = 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 + -5b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5b = 0 + 6
-5b = 0 + 6

Combine like terms: 0 + 6 = 6
-5b = 6

Divide each side by '-5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {-1.2, 7}