x(4+2x)=4(1+x)

Solution for x(4+2x)=4(1+x) equation:

Simplifying
x(4 + 2x) = 4(1 + x)
(4 * x + 2x * x) = 4(1 + x)
(4x + 2x2) = 4(1 + x)
4x + 2x2 = (1 * 4 + x * 4)
4x + 2x2 = (4 + 4x)

Add '-4x' to each side of the equation.
4x + -4x + 2x2 = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
0 + 2x2 = 4 + 4x + -4x
2x2 = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
2x2 = 4 + 0
2x2 = 4

Solving
2x2 = 4

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}