b^2-16b-57=0

Solution for b^2-16b-57=0 equation:

Simplifying
b2 + -16b + -57 = 0

Reorder the terms:
-57 + -16b + b2 = 0

Solving
-57 + -16b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -1b)(19 + -1b) = 0

Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve:

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
Subproblem 2
Set the factor '(19 + -1b)' equal to zero and attempt to solve:

Simplifying
19 + -1b = 0

Solving
19 + -1b = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1b = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1b = 0 + -19
-1b = 0 + -19

Combine like terms: 0 + -19 = -19
-1b = -19

Divide each side by '-1'.
b = 19

Simplifying
b = 19
Solution
b = {-3, 19}