x-x^2=36

Solution for x-x^2=36 equation:

Simplifying
x + -1x2 = 36

Solving
x + -1x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + x + -1x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + x + -1x2 = 0

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

Divide each side by '-1'.
36 + -1x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -1x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -1x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x + x2 = 0 + -36
-1x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-1x + x2 = -36

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -36 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -36 + 0.25

Combine like terms: -36 + 0.25 = -35.75
0.25 + -1x + x2 = -35.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -35.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.