12b^2-22b-4=0

Solution for 12b^2-22b-4=0 equation:

Simplifying
12b2 + -22b + -4 = 0

Reorder the terms:
-4 + -22b + 12b2 = 0

Solving
-4 + -22b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -11b + 6b2) = 0

Factor a trinomial.
2((-1 + -6b)(2 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -6b)' equal to zero and attempt to solve:

Simplifying
-1 + -6b = 0

Solving
-1 + -6b = 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 + -6b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6b = 0 + 1
-6b = 0 + 1

Combine like terms: 0 + 1 = 1
-6b = 1

Divide each side by '-6'.
b = -0.1666666667

Simplifying
b = -0.1666666667
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-0.1666666667, 2}