b^2-12b+23=-13

Solution for b^2-12b+23=-13 equation:

Simplifying
b2 + -12b + 23 = -13

Reorder the terms:
23 + -12b + b2 = -13

Solving
23 + -12b + b2 = -13

Solving for variable 'b'.

Reorder the terms:
23 + 13 + -12b + b2 = -13 + 13

Combine like terms: 23 + 13 = 36
36 + -12b + b2 = -13 + 13

Combine like terms: -13 + 13 = 0
36 + -12b + b2 = 0

Factor a trinomial.
(6 + -1b)(6 + -1b) = 0

Subproblem 1
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {6, 6}