a(a+b)=ab

Solution for a(a+b)=ab equation:

Simplifying
a(a + b) = ab
(a * a + b * a) = ab

Reorder the terms:
(ab + a2) = ab
(ab + a2) = ab

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

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

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

Solving
a2 = 0

Solving for variable 'a'.

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}