m(m-n)-n(n-m)=

Solution for m(m-n)-n(n-m)= equation:

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

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

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

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

Combine like terms: -1mn + 1mn = 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}