2x(x-1)=-55

Solution for 2x(x-1)=-55 equation:

Simplifying
2x(x + -1) = -55

Reorder the terms:
2x(-1 + x) = -55
(-1 * 2x + x * 2x) = -55
(-2x + 2x2) = -55

Solving
-2x + 2x2 = -55

Solving for variable 'x'.

Reorder the terms:
55 + -2x + 2x2 = -55 + 55

Combine like terms: -55 + 55 = 0
55 + -2x + 2x2 = 0

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

Divide each side by '2'.
27.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-27.5' to each side of the equation.
27.5 + -1x + -27.5 + x2 = 0 + -27.5

Reorder the terms:
27.5 + -27.5 + -1x + x2 = 0 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -1x + x2 = 0 + -27.5
-1x + x2 = 0 + -27.5

Combine like terms: 0 + -27.5 = -27.5
-1x + x2 = -27.5

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 = -27.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -27.5 + 0.25

Combine like terms: -27.5 + 0.25 = -27.25
0.25 + -1x + x2 = -27.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -27.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.