What is wrong with solving the equation x2=3x by dividing both sides of the equation by x? Explain the correct method for solving this equation.

Question

anonymous · Answer

because you are not allowed to divide by 0
if $x=0$ you have a solution because you would get $0=0$

anonymous · Answer

correct method is to think "if twice a number is the same as three times a number, that number better be 0"

anonymous · Answer

well actually correct method would be two write 
$$x^2-2x=0$$
$$x(x-2)=0$$ etc

anonymous · Answer

THANKS SATELLITE GREAT REACTION TIME

anonymous · Answer

ignore my second answer i read it incorrectly
i thought it said $2x=3x$ but actually it was $x^2=3x$ so all is wrong

anonymous · Answer

let me start again and do it right

anonymous · Answer

$$x^2=3x$$
$$x^2-3x=0$$
$$x(x-3)=0$$
$$x=0$$ or $$x=3$$