x^2-4ax=4a(a-x)

Solution for x^2-4ax=4a(a-x) equation:

Simplifying
x2 + -4ax = 4a(a + -1x)

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

Reorder the terms:
-4ax + x2 = (-4ax + 4a2)
-4ax + x2 = (-4ax + 4a2)

Add '4ax' to each side of the equation.
-4ax + 4ax + x2 = -4ax + 4ax + 4a2

Combine like terms: -4ax + 4ax = 0
0 + x2 = -4ax + 4ax + 4a2
x2 = -4ax + 4ax + 4a2

Combine like terms: -4ax + 4ax = 0
x2 = 0 + 4a2
x2 = 4a2

Solving
x2 = 4a2

Solving for variable 'x'.

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

Simplifying
x2 = 4a2

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