Mdx+ndy=0

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Solution for Mdx+ndy=0 equation: 


Simplifying
Mdx + ndy = 0

Reorder the terms:
dny + dxM = 0

Solving
dny + dxM = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(ny + xM) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(ny + xM)' equal to zero and attempt to solve:

Simplifying
ny + xM = 0

Solving
ny + xM = 0

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

Add '-1ny' to each side of the equation.
ny + -1ny + xM = 0 + -1ny

Combine like terms: ny + -1ny = 0
0 + xM = 0 + -1ny
xM = 0 + -1ny
Remove the zero:
xM = -1ny

Add '-1xM' to each side of the equation.
xM + -1xM = -1ny + -1xM

Combine like terms: xM + -1xM = 0
0 = -1ny + -1xM

Simplifying
0 = -1ny + -1xM

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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