-x^2+12x-37=0

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

Simplifying
-1x2 + 12x + -37 = 0

Reorder the terms:
-37 + 12x + -1x2 = 0

Solving
-37 + 12x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
37 + -12x + x2 = 0

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -12x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + -12x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -12x + x2 = 0 + -37
-12x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
-12x + x2 = -37

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

Add '36' to each side of the equation.
-12x + 36 + x2 = -37 + 36

Reorder the terms:
36 + -12x + x2 = -37 + 36

Combine like terms: -37 + 36 = -1
36 + -12x + x2 = -1

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.