x(x+2)=x+x+2+14

Solution for x(x+2)=x+x+2+14 equation:

Simplifying
x(x + 2) = x + x + 2 + 14

Reorder the terms:
x(2 + x) = x + x + 2 + 14
(2 * x + x * x) = x + x + 2 + 14
(2x + x2) = x + x + 2 + 14

Reorder the terms:
2x + x2 = 2 + 14 + x + x

Combine like terms: 2 + 14 = 16
2x + x2 = 16 + x + x

Combine like terms: x + x = 2x
2x + x2 = 16 + 2x

Add '-2x' to each side of the equation.
2x + -2x + x2 = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
0 + x2 = 16 + 2x + -2x
x2 = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
x2 = 16 + 0
x2 = 16

Solving
x2 = 16

Solving for variable 'x'.

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

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}