a(x-a)=x(a-1)

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

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

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

Reorder the terms:
(ax + -1a2) = x(a + -1)
(ax + -1a2) = x(a + -1)

Reorder the terms:
ax + -1a2 = x(-1 + a)
ax + -1a2 = (-1 * x + a * x)

Reorder the terms:
ax + -1a2 = (ax + -1x)
ax + -1a2 = (ax + -1x)

Add '-1ax' to each side of the equation.
ax + -1ax + -1a2 = ax + -1ax + -1x

Combine like terms: ax + -1ax = 0
0 + -1a2 = ax + -1ax + -1x
-1a2 = ax + -1ax + -1x

Combine like terms: ax + -1ax = 0
-1a2 = 0 + -1x
-1a2 = -1x

Solving
-1a2 = -1x

Solving for variable 'a'.

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

Divide each side by '-1'.
a2 = x

Simplifying
a2 = x

Combine like terms: x + -1x = 0
a2 + -1x = 0

The solution to this equation could not be determined.