-x(x-1)=5

Solution for -x(x-1)=5 equation:

Simplifying
-1x(x + -1) = 5

Reorder the terms:
-1x(-1 + x) = 5
(-1 * -1x + x * -1x) = 5
(1x + -1x2) = 5

Solving
1x + -1x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 1x + -1x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 1x + -1x2 = 0

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

Divide each side by '-1'.
5 + -1x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x + x2 = 0 + -5
-1x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x + x2 = -5

The x term is -1x.  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 = -5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + -1x + x2 = -4.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.