=2x^2-2x+3

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

Simplifying
0 = 2x2 + -2x + 3

Reorder the terms:
0 = 3 + -2x + 2x2

Solving
0 = 3 + -2x + 2x2

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-2'.
1.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1x + x2 = 0 + -1.5
-1x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1x + x2 = -1.5

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 = -1.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + -1x + x2 = -1.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.