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

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

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

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

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

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = x * x + 6
((2 * 2 + x * 2) + x(2 + x)) = x * x + 6
((4 + 2x) + x(2 + x)) = x * x + 6
(4 + 2x + (2 * x + x * x)) = x * x + 6
(4 + 2x + (2x + x2)) = x * x + 6

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = x * x + 6

Multiply x * x
4 + 4x + x2 = x2 + 6

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

Add '-1x2' to each side of the equation.
4 + 4x + x2 + -1x2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x + 0 = 6 + x2 + -1x2
4 + 4x = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x = 6 + 0
4 + 4x = 6

Solving
4 + 4x = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 4x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 6 + -4
4x = 6 + -4

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

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5