b^2+8b-105=

Solution for b^2+8b-105= equation:

Simplifying
b2 + 8b + -105 = 0

Reorder the terms:
-105 + 8b + b2 = 0

Solving
-105 + 8b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-15 + -1b)(7 + -1b) = 0

Subproblem 1
Set the factor '(-15 + -1b)' equal to zero and attempt to solve:

Simplifying
-15 + -1b = 0

Solving
-15 + -1b = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1b = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1b = 0 + 15
-1b = 0 + 15

Combine like terms: 0 + 15 = 15
-1b = 15

Divide each side by '-1'.
b = -15

Simplifying
b = -15
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 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 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {-15, 7}