x^2-x=-56

Solution for x^2-x=-56 equation:

Simplifying
x2 + -1x = -56

Reorder the terms:
-1x + x2 = -56

Solving
-1x + x2 = -56

Solving for variable 'x'.

Reorder the terms:
56 + -1x + x2 = -56 + 56

Combine like terms: -56 + 56 = 0
56 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -1x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + -1x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -1x + x2 = 0 + -56
-1x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
-1x + x2 = -56

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 = -56 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -56 + 0.25

Combine like terms: -56 + 0.25 = -55.75
0.25 + -1x + x2 = -55.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -55.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.