How do you factor m^2=2m? m ^(2) = 2m

Question

How do you factor m^2=2m?

`m ^(2) = 2m`

Answer 1

First move all terms to one side:

`m^2=2m\implies m^2-2m=0`

Then all terms on the left side share a common factor of
`m`:

`m(m-2)=0`

The zero product product property says that if
`ab=0`, then
`a=0` or
`b=0`. So either
`m=0` or
`m-2=0\implies m=2`.