32b-b^2-207=0

Solution for 32b-b^2-207=0 equation:

Simplifying
32b + -1b2 + -207 = 0

Reorder the terms:
-207 + 32b + -1b2 = 0

Solving
-207 + 32b + -1b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-23 + b)(9 + -1b) = 0

Subproblem 1
Set the factor '(-23 + b)' equal to zero and attempt to solve:

Simplifying
-23 + b = 0

Solving
-23 + b = 0

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

Add '23' to each side of the equation.
-23 + 23 + b = 0 + 23

Combine like terms: -23 + 23 = 0
0 + b = 0 + 23
b = 0 + 23

Combine like terms: 0 + 23 = 23
b = 23

Simplifying
b = 23
Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve:

Simplifying
9 + -1b = 0

Solving
9 + -1b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1b = 0 + -9
-1b = 0 + -9

Combine like terms: 0 + -9 = -9
-1b = -9

Divide each side by '-1'.
b = 9

Simplifying
b = 9
Solution
b = {23, 9}