8b^2-47b-4=2

Solution for 8b^2-47b-4=2 equation:

Simplifying
8b2 + -47b + -4 = 2

Reorder the terms:
-4 + -47b + 8b2 = 2

Solving
-4 + -47b + 8b2 = 2

Solving for variable 'b'.

Reorder the terms:
-4 + -2 + -47b + 8b2 = 2 + -2

Combine like terms: -4 + -2 = -6
-6 + -47b + 8b2 = 2 + -2

Combine like terms: 2 + -2 = 0
-6 + -47b + 8b2 = 0

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

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

Simplifying
-1 + -8b = 0

Solving
-1 + -8b = 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 + -8b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8b = 0 + 1
-8b = 0 + 1

Combine like terms: 0 + 1 = 1
-8b = 1

Divide each side by '-8'.
b = -0.125

Simplifying
b = -0.125
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 = {-0.125, 6}