2x-x*x+3=x+7

Solution for 2x-x*x+3=x+7 equation:

Simplifying
2x + -1x * x + 3 = x + 7

Multiply x * x
2x + -1x2 + 3 = x + 7

Reorder the terms:
3 + 2x + -1x2 = x + 7

Reorder the terms:
3 + 2x + -1x2 = 7 + x

Solving
3 + 2x + -1x2 = 7 + x

Solving for variable 'x'.

Reorder the terms:
3 + -7 + 2x + -1x + -1x2 = 7 + x + -7 + -1x

Combine like terms: 3 + -7 = -4
-4 + 2x + -1x + -1x2 = 7 + x + -7 + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x + -1x2 = 7 + x + -7 + -1x

Reorder the terms:
-4 + 1x + -1x2 = 7 + -7 + x + -1x

Combine like terms: 7 + -7 = 0
-4 + 1x + -1x2 = 0 + x + -1x
-4 + 1x + -1x2 = x + -1x

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
4 + -1x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -1x + x2 = 0 + -4

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

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

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 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + -1x + x2 = -3.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.