n^2-12n+37=0

Solution for n^2-12n+37=0 equation:

Simplifying
n2 + -12n + 37 = 0

Reorder the terms:
37 + -12n + n2 = 0

Solving
37 + -12n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -12n + -37 + n2 = 0 + -37

Reorder the terms:
37 + -37 + -12n + n2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -12n + n2 = 0 + -37
-12n + n2 = 0 + -37

Combine like terms: 0 + -37 = -37
-12n + n2 = -37

The n term is -12n.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12n + 36 + n2 = -37 + 36

Reorder the terms:
36 + -12n + n2 = -37 + 36

Combine like terms: -37 + 36 = -1
36 + -12n + n2 = -1

Factor a perfect square on the left side:
(n + -6)(n + -6) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.