33b^2-12b-21=

Solution for 33b^2-12b-21= equation:

Simplifying
33b2 + -12b + -21 = 0

Reorder the terms:
-21 + -12b + 33b2 = 0

Solving
-21 + -12b + 33b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + -4b + 11b2) = 0

Factor a trinomial.
3((-7 + -11b)(1 + -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 '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

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

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

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

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

Simplifying
b = 1
Solution
b = {-0.6363636364, 1}