m^2-12m+37=0

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

Simplifying
m2 + -12m + 37 = 0

Reorder the terms:
37 + -12m + m2 = 0

Solving
37 + -12m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -12m + -37 + m2 = 0 + -37

Reorder the terms:
37 + -37 + -12m + m2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -12m + m2 = 0 + -37
-12m + m2 = 0 + -37

Combine like terms: 0 + -37 = -37
-12m + m2 = -37

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

Add '36' to each side of the equation.
-12m + 36 + m2 = -37 + 36

Reorder the terms:
36 + -12m + m2 = -37 + 36

Combine like terms: -37 + 36 = -1
36 + -12m + m2 = -1

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.