M(m+n)+n(2m+3n)=

Solution for M(m+n)+n(2m+3n)= equation:

Simplifying
M(m + n) + n(2m + 3n) = 0
(m * M + n * M) + n(2m + 3n) = 0
(mM + nM) + n(2m + 3n) = 0
mM + nM + (2m * n + 3n * n) = 0
mM + nM + (2mn + 3n2) = 0

Reorder the terms:
mM + 2mn + nM + 3n2 = 0

Solving
mM + 2mn + nM + 3n2 = 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.
mM + 2mn + nM + -1nM + 3n2 = 0 + -1nM

Combine like terms: nM + -1nM = 0
mM + 2mn + 0 + 3n2 = 0 + -1nM
mM + 2mn + 3n2 = 0 + -1nM
Remove the zero:
mM + 2mn + 3n2 = -1nM

Add '-3n2' to each side of the equation.
mM + 2mn + 3n2 + -3n2 = -1nM + -3n2

Combine like terms: 3n2 + -3n2 = 0
mM + 2mn + 0 = -1nM + -3n2
mM + 2mn = -1nM + -3n2

Reorder the terms:
mM + 2mn + nM + 3n2 = -1nM + nM + -3n2 + 3n2

Combine like terms: -1nM + nM = 0
mM + 2mn + nM + 3n2 = 0 + -3n2 + 3n2
mM + 2mn + nM + 3n2 = -3n2 + 3n2

Combine like terms: -3n2 + 3n2 = 0
mM + 2mn + nM + 3n2 = 0

The solution to this equation could not be determined.