=(2x^2-5x+13)-(4-4x)

Solution for =(2x^2-5x+13)-(4-4x) equation:

Simplifying
0 = (2x2 + -5x + 13) + -1(4 + -4x)

Reorder the terms:
0 = (13 + -5x + 2x2) + -1(4 + -4x)

Remove parenthesis around (13 + -5x + 2x2)
0 = 13 + -5x + 2x2 + -1(4 + -4x)
0 = 13 + -5x + 2x2 + (4 * -1 + -4x * -1)
0 = 13 + -5x + 2x2 + (-4 + 4x)

Reorder the terms:
0 = 13 + -4 + -5x + 4x + 2x2

Combine like terms: 13 + -4 = 9
0 = 9 + -5x + 4x + 2x2

Combine like terms: -5x + 4x = -1x
0 = 9 + -1x + 2x2

Solving
0 = 9 + -1x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -9 = -9
-9 + x + -2x2 = 9 + -1x + 2x2 + -9 + x + -2x2

Reorder the terms:
-9 + x + -2x2 = 9 + -9 + -1x + x + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
-9 + x + -2x2 = 0 + -1x + x + 2x2 + -2x2
-9 + x + -2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
-9 + x + -2x2 = 0 + 2x2 + -2x2
-9 + x + -2x2 = 2x2 + -2x2

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

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

Divide each side by '-2'.
4.5 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -0.5x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -0.5x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.5x + x2 = 0 + -4.5
-0.5x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-0.5x + x2 = -4.5

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 = -4.5 + 0.25

Reorder the terms:
0.25 + -0.5x + x2 = -4.5 + 0.25

Combine like terms: -4.5 + 0.25 = -4.25
0.25 + -0.5x + 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.