8b^2-41b-42=0

Solution for 8b^2-41b-42=0 equation:

Simplifying
8b2 + -41b + -42 = 0

Reorder the terms:
-42 + -41b + 8b2 = 0

Solving
-42 + -41b + 8b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -8b)(6 + -1b) = 0

Subproblem 1
Set the factor '(-7 + -8b)' equal to zero and attempt to solve:

Simplifying
-7 + -8b = 0

Solving
-7 + -8b = 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 + -8b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8b = 0 + 7
-8b = 0 + 7

Combine like terms: 0 + 7 = 7
-8b = 7

Divide each side by '-8'.
b = -0.875

Simplifying
b = -0.875
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 = {-0.875, 6}