2(x+8)=x(x+2)

Solution for 2(x+8)=x(x+2) equation:

Simplifying
2(x + 8) = x(x + 2)

Reorder the terms:
2(8 + x) = x(x + 2)
(8 * 2 + x * 2) = x(x + 2)
(16 + 2x) = x(x + 2)

Reorder the terms:
16 + 2x = x(2 + x)
16 + 2x = (2 * x + x * x)
16 + 2x = (2x + x2)

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

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

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

Solving
16 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
16 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -1x2 = 0

Add '-16' to each side of the equation.
16 + -16 + -1x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x2 = 0 + -16
-1x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-1x2 = -16

Divide each side by '-1'.
x2 = 16

Simplifying
x2 = 16

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