b^2-18b+23=-9

Solution for b^2-18b+23=-9 equation:

Simplifying
b2 + -18b + 23 = -9

Reorder the terms:
23 + -18b + b2 = -9

Solving
23 + -18b + b2 = -9

Solving for variable 'b'.

Reorder the terms:
23 + 9 + -18b + b2 = -9 + 9

Combine like terms: 23 + 9 = 32
32 + -18b + b2 = -9 + 9

Combine like terms: -9 + 9 = 0
32 + -18b + b2 = 0

Factor a trinomial.
(2 + -1b)(16 + -1b) = 0

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Subproblem 2
Set the factor '(16 + -1b)' equal to zero and attempt to solve:

Simplifying
16 + -1b = 0

Solving
16 + -1b = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1b = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1b = 0 + -16
-1b = 0 + -16

Combine like terms: 0 + -16 = -16
-1b = -16

Divide each side by '-1'.
b = 16

Simplifying
b = 16
Solution
b = {2, 16}