Question

How do you factor m^2=2m?m" alt="m ^{2} = 2m" align="absmiddle" class="latex-formula">

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 $m-2=0\implies m=2$.