x(x+2)=11+(x+x+2)

Solution for x(x+2)=11+(x+x+2) equation:

Simplifying
x(x + 2) = 11 + (x + x + 2)

Reorder the terms:
x(2 + x) = 11 + (x + x + 2)
(2 * x + x * x) = 11 + (x + x + 2)
(2x + x2) = 11 + (x + x + 2)

Reorder the terms:
2x + x2 = 11 + (2 + x + x)

Combine like terms: x + x = 2x
2x + x2 = 11 + (2 + 2x)

Remove parenthesis around (2 + 2x)
2x + x2 = 11 + 2 + 2x

Combine like terms: 11 + 2 = 13
2x + x2 = 13 + 2x

Add '-2x' to each side of the equation.
2x + -2x + x2 = 13 + 2x + -2x

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

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

Solving
x2 = 13

Solving for variable 'x'.

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

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}