Mv^1=(m+M)v^2

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Solution for Mv^1=(m+M)v^2 equation: 


Simplifying
Mv = (m + M) * v2

Reorder the terms:
vM = (M + m) * v2

Reorder the terms for easier multiplication:
vM = v2(M + m)
vM = (M * v2 + m * v2)

Reorder the terms:
vM = (mv2 + v2M)
vM = (mv2 + v2M)

Solving
vM = mv2 + v2M

Solving for variable 'v'.

Reorder the terms:
-1mv2 + vM + -1v2M = mv2 + v2M + -1mv2 + -1v2M

Reorder the terms:
-1mv2 + vM + -1v2M = mv2 + -1mv2 + v2M + -1v2M

Combine like terms: mv2 + -1mv2 = 0
-1mv2 + vM + -1v2M = 0 + v2M + -1v2M
-1mv2 + vM + -1v2M = v2M + -1v2M

Combine like terms: v2M + -1v2M = 0
-1mv2 + vM + -1v2M = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(-1mv + M + -1vM) = 0


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

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
Set the factor '(-1mv + M + -1vM)' equal to zero and attempt to solve:

Simplifying
-1mv + M + -1vM = 0

Reorder the terms:
M + -1mv + -1vM = 0

Solving
M + -1mv + -1vM = 0

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

Add '-1M' to each side of the equation.
M + -1mv + -1M + -1vM = 0 + -1M

Reorder the terms:
M + -1M + -1mv + -1vM = 0 + -1M

Combine like terms: M + -1M = 0
0 + -1mv + -1vM = 0 + -1M
-1mv + -1vM = 0 + -1M
Remove the zero:
-1mv + -1vM = -1M

The solution to this equation could not be determined.

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

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