-2x^2+x-2=3

Solution for -2x^2+x-2=3 equation:

Simplifying
-2x2 + x + -2 = 3

Reorder the terms:
-2 + x + -2x2 = 3

Solving
-2 + x + -2x2 = 3

Solving for variable 'x'.

Reorder the terms:
-2 + -3 + x + -2x2 = 3 + -3

Combine like terms: -2 + -3 = -5
-5 + x + -2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-5 + x + -2x2 = 0

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

Divide each side by '-2'.
2.5 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.5x + x2 = 0 + -2.5
-0.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.5x + x2 = -2.5

The x term is x.  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.
-0.5x + 0.25 + x2 = -2.5 + 0.25

Reorder the terms:
0.25 + -0.5x + x2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -0.5x + x2 = -2.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.