Question

Ok can someone give me the anwser to this so i will understand?! :)
Solve the equation for x: 3x2 = 6x

Answer 1

\[3x^2-6x=0\] is a start

Answer 2

now factor as
\[3x(x-2)=0\]

Answer 3

set each factor equal to zero and solve
\[3x=0\implies x=0\]
\[x-2=0\implies x=2\] clear or need more explanation?

Answer 4

i think i get it. so the anwser would be 2?

Answer 5

and 0

Answer 6

yes there are two answers since your original equation started with an
\[x^2\]

Answer 7

and you can check them both
you started with
\[3x^2=6x\] if you replace x by 0 you get
\[0=0\] so you know that one works

Answer 8

then if you replace x by 2 you get
\[3\times 2^2=6\times 2\]
\[12=12\] so that one works as well