and:

If:
x(x-2)=24, then either x=24, or x-24=0

2. Originally Posted by original501

this is a well known factorization of the sum of two cubes ... what are you supposed to do with it?

and:

If:
x(x-2)=24, then either x=24, or x-24=0

no ...

$\textcolor{red}{x(x-2) = 24}$

$\textcolor{red}{x^2 - 2x - 24 = 0}$

$\textcolor{red}{(x - 6)(x + 4) = 0}$

$\textcolor{red}{x = 6}$ , $\textcolor{red}{x = -4}$
...