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

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

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

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

Reorder the terms:
-1mM + -1mn + nM + 1n2 = 0

Solving
-1mM + -1mn + nM + 1n2 = 0

Solving for variable 'm'.

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

Add '-1nM' to each side of the equation.
-1mM + -1mn + nM + -1nM + 1n2 = 0 + -1nM

Combine like terms: nM + -1nM = 0
-1mM + -1mn + 0 + 1n2 = 0 + -1nM
-1mM + -1mn + 1n2 = 0 + -1nM
Remove the zero:
-1mM + -1mn + 1n2 = -1nM

Add '-1n2' to each side of the equation.
-1mM + -1mn + 1n2 + -1n2 = -1nM + -1n2

Combine like terms: 1n2 + -1n2 = 0
-1mM + -1mn + 0 = -1nM + -1n2
-1mM + -1mn = -1nM + -1n2

Reorder the terms:
-1mM + -1mn + nM + n2 = -1nM + nM + -1n2 + n2

Combine like terms: -1nM + nM = 0
-1mM + -1mn + nM + n2 = 0 + -1n2 + n2
-1mM + -1mn + nM + n2 = -1n2 + n2

Combine like terms: -1n2 + n2 = 0
-1mM + -1mn + nM + n2 = 0

The solution to this equation could not be determined.