33b^2-117b-60=

Solution for 33b^2-117b-60= equation:

Simplifying
33b2 + -117b + -60 = 0

Reorder the terms:
-60 + -117b + 33b2 = 0

Solving
-60 + -117b + 33b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -39b + 11b2) = 0

Factor a trinomial.
3((-5 + -11b)(4 + -1b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -11b)' equal to zero and attempt to solve:

Simplifying
-5 + -11b = 0

Solving
-5 + -11b = 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 + -11b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11b = 0 + 5
-11b = 0 + 5

Combine like terms: 0 + 5 = 5
-11b = 5

Divide each side by '-11'.
b = -0.4545454545

Simplifying
b = -0.4545454545
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-0.4545454545, 4}