(A+B)(A-B)=0

Solution for (A+B)(A-B)=0 equation:

Simplifying
(A + B)(A + -1B) = 0

Multiply (A + B) * (A + -1B)
(A(A + -1B) + B(A + -1B)) = 0
((A * A + -1B * A) + B(A + -1B)) = 0

Reorder the terms:
((-1AB + A2) + B(A + -1B)) = 0
((-1AB + A2) + B(A + -1B)) = 0
(-1AB + A2 + (A * B + -1B * B)) = 0
(-1AB + A2 + (AB + -1B2)) = 0

Reorder the terms:
(-1AB + AB + A2 + -1B2) = 0

Combine like terms: -1AB + AB = 0
(0 + A2 + -1B2) = 0
(A2 + -1B2) = 0

Solving
A2 + -1B2 = 0

Solving for variable 'A'.

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

Add 'B2' to each side of the equation.
A2 + -1B2 + B2 = 0 + B2

Combine like terms: -1B2 + B2 = 0
A2 + 0 = 0 + B2
A2 = 0 + B2
Remove the zero:
A2 = B2

Simplifying
A2 = B2

Take the square root of each side:
A = {-1B, B}