b^2-6b+13=4

Solution for b^2-6b+13=4 equation:

Simplifying
b2 + -6b + 13 = 4

Reorder the terms:
13 + -6b + b2 = 4

Solving
13 + -6b + b2 = 4

Solving for variable 'b'.

Reorder the terms:
13 + -4 + -6b + b2 = 4 + -4

Combine like terms: 13 + -4 = 9
9 + -6b + b2 = 4 + -4

Combine like terms: 4 + -4 = 0
9 + -6b + b2 = 0

Factor a trinomial.
(3 + -1b)(3 + -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 '(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
Solution
b = {3, 3}