(x+2)2=x^2+6

Solution for (x+2)2=x^2+6 equation:

Simplifying
(x + 2) * 2 = x2 + 6

Reorder the terms:
(2 + x) * 2 = x2 + 6

Reorder the terms for easier multiplication:
2(2 + x) = x2 + 6
(2 * 2 + x * 2) = x2 + 6
(4 + 2x) = x2 + 6

Reorder the terms:
4 + 2x = 6 + x2

Solving
4 + 2x = 6 + x2

Solving for variable 'x'.

Reorder the terms:
4 + -6 + 2x + -1x2 = 6 + x2 + -6 + -1x2

Combine like terms: 4 + -6 = -2
-2 + 2x + -1x2 = 6 + x2 + -6 + -1x2

Reorder the terms:
-2 + 2x + -1x2 = 6 + -6 + x2 + -1x2

Combine like terms: 6 + -6 = 0
-2 + 2x + -1x2 = 0 + x2 + -1x2
-2 + 2x + -1x2 = x2 + -1x2

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

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

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

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2x + -2 + x2 = 0 + -2

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

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2 + 1

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

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.