10b^2-79b-8=0

Solution for 10b^2-79b-8=0 equation:

Simplifying
10b2 + -79b + -8 = 0

Reorder the terms:
-8 + -79b + 10b2 = 0

Solving
-8 + -79b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -10b)(8 + -1b) = 0

Subproblem 1
Set the factor '(-1 + -10b)' equal to zero and attempt to solve:

Simplifying
-1 + -10b = 0

Solving
-1 + -10b = 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 + -10b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -10b = 0 + 1
-10b = 0 + 1

Combine like terms: 0 + 1 = 1
-10b = 1

Divide each side by '-10'.
b = -0.1

Simplifying
b = -0.1
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

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

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

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

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {-0.1, 8}