2x^2-2x=-9

Solution for 2x^2-2x=-9 equation:

Simplifying
2x2 + -2x = -9

Reorder the terms:
-2x + 2x2 = -9

Solving
-2x + 2x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + -2x + 2x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -2x + 2x2 = 0

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

Divide each side by '2'.
4.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -1x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -1x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1x + x2 = 0 + -4.5
-1x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-1x + x2 = -4.5

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 = -4.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4.5 + 0.25

Combine like terms: -4.5 + 0.25 = -4.25
0.25 + -1x + x2 = -4.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.