(m+n)*(m-n)=0

Solution for (m+n)*(m-n)=0 equation:

Simplifying
(m + n)(m + -1n) = 0

Multiply (m + n) * (m + -1n)
(m(m + -1n) + n(m + -1n)) = 0
((m * m + -1n * m) + n(m + -1n)) = 0

Reorder the terms:
((-1mn + m2) + n(m + -1n)) = 0
((-1mn + m2) + n(m + -1n)) = 0
(-1mn + m2 + (m * n + -1n * n)) = 0
(-1mn + m2 + (mn + -1n2)) = 0

Reorder the terms:
(-1mn + mn + m2 + -1n2) = 0

Combine like terms: -1mn + mn = 0
(0 + m2 + -1n2) = 0
(m2 + -1n2) = 0

Solving
m2 + -1n2 = 0

Solving for variable 'm'.

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

Add 'n2' to each side of the equation.
m2 + -1n2 + n2 = 0 + n2

Combine like terms: -1n2 + n2 = 0
m2 + 0 = 0 + n2
m2 = 0 + n2
Remove the zero:
m2 = n2

Simplifying
m2 = n2

Take the square root of each side:
m = {-1n, n}