M(m+2n)-n(m+2n)=

Solution for M(m+2n)-n(m+2n)= equation:

Simplifying
M(m + 2n) + -1n(m + 2n) = 0
(m * M + 2n * M) + -1n(m + 2n) = 0
(mM + 2nM) + -1n(m + 2n) = 0
mM + 2nM + (m * -1n + 2n * -1n) = 0
mM + 2nM + (-1mn + -2n2) = 0

Reorder the terms:
mM + -1mn + 2nM + -2n2 = 0

Solving
mM + -1mn + 2nM + -2n2 = 0

Solving for variable 'm'.

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

Add '-2nM' to each side of the equation.
mM + -1mn + 2nM + -2nM + -2n2 = 0 + -2nM

Combine like terms: 2nM + -2nM = 0
mM + -1mn + 0 + -2n2 = 0 + -2nM
mM + -1mn + -2n2 = 0 + -2nM
Remove the zero:
mM + -1mn + -2n2 = -2nM

Add '2n2' to each side of the equation.
mM + -1mn + -2n2 + 2n2 = -2nM + 2n2

Combine like terms: -2n2 + 2n2 = 0
mM + -1mn + 0 = -2nM + 2n2
mM + -1mn = -2nM + 2n2

Reorder the terms:
mM + -1mn + 2nM + -2n2 = -2nM + 2nM + 2n2 + -2n2

Combine like terms: -2nM + 2nM = 0
mM + -1mn + 2nM + -2n2 = 0 + 2n2 + -2n2
mM + -1mn + 2nM + -2n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
mM + -1mn + 2nM + -2n2 = 0

The solution to this equation could not be determined.