x^2-2x=-11

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Solution for x^2-2x=-11 equation: 


Simplifying
x2 + -2x = -11

Reorder the terms:
-2x + x2 = -11

Solving
-2x + x2 = -11

Solving for variable 'x'.

Reorder the terms:
11 + -2x + x2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -2x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -2x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x + x2 = 0 + -11
-2x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-2x + x2 = -11

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -11 + 1

Reorder the terms:
1 + -2x + x2 = -11 + 1

Combine like terms: -11 + 1 = -10
1 + -2x + x2 = -10

Factor a perfect square on the left side:
(x + -1)(x + -1) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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