6b^2-13b-8=0

Solution for 6b^2-13b-8=0 equation:

Simplifying
6b2 + -13b + -8 = 0

Reorder the terms:
-8 + -13b + 6b2 = 0

Solving
-8 + -13b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -2b)(8 + -3b) = 0

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

Simplifying
-1 + -2b = 0

Solving
-1 + -2b = 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 + -2b = 0 + 1

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

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

Divide each side by '-2'.
b = -0.5

Simplifying
b = -0.5
Subproblem 2
Set the factor '(8 + -3b)' equal to zero and attempt to solve:

Simplifying
8 + -3b = 0

Solving
8 + -3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3b = 0 + -8
-3b = 0 + -8

Combine like terms: 0 + -8 = -8
-3b = -8

Divide each side by '-3'.
b = 2.666666667

Simplifying
b = 2.666666667
Solution
b = {-0.5, 2.666666667}