2x(x-4)=4(1-2x)

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

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

Reorder the terms:
2x(-4 + x) = 4(1 + -2x)
(-4 * 2x + x * 2x) = 4(1 + -2x)
(-8x + 2x2) = 4(1 + -2x)
-8x + 2x2 = (1 * 4 + -2x * 4)
-8x + 2x2 = (4 + -8x)

Add '8x' to each side of the equation.
-8x + 8x + 2x2 = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
0 + 2x2 = 4 + -8x + 8x
2x2 = 4 + -8x + 8x

Combine like terms: -8x + 8x = 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}