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

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

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

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

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

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

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

Solving
x2 = 4

Solving for variable 'x'.

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

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}