6b^2-b-22=0

Solution for 6b^2-b-22=0 equation:

Simplifying
6b2 + -1b + -22 = 0

Reorder the terms:
-22 + -1b + 6b2 = 0

Solving
-22 + -1b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-11 + -6b)(2 + -1b) = 0

Subproblem 1
Set the factor '(-11 + -6b)' equal to zero and attempt to solve:

Simplifying
-11 + -6b = 0

Solving
-11 + -6b = 0

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

Add '11' to each side of the equation.
-11 + 11 + -6b = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -6b = 0 + 11
-6b = 0 + 11

Combine like terms: 0 + 11 = 11
-6b = 11

Divide each side by '-6'.
b = -1.833333333

Simplifying
b = -1.833333333
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 = {-1.833333333, 2}