33b^2-177b-126=

Solution for 33b^2-177b-126= equation:

Simplifying
33b2 + -177b + -126 = 0

Reorder the terms:
-126 + -177b + 33b2 = 0

Solving
-126 + -177b + 33b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-42 + -59b + 11b2) = 0

Factor a trinomial.
3((-7 + -11b)(6 + -1b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-7 + -11b)' equal to zero and attempt to solve:

Simplifying
-7 + -11b = 0

Solving
-7 + -11b = 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 + -11b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11b = 0 + 7
-11b = 0 + 7

Combine like terms: 0 + 7 = 7
-11b = 7

Divide each side by '-11'.
b = -0.6363636364

Simplifying
b = -0.6363636364
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 = {-0.6363636364, 6}