Find solution of quadratic equation: 5x^2=10x

Question

.sam. · Answer

divdide both sides by 5
5x^2=10x
x^2=2x
divide both sides by x and you're done

parthkohli · Answer

$\Large \color{MidnightBlue}{\Rightarrow 5x^2 - 10x = 0 }$

$\Large \color{MidnightBlue}{\Rightarrow 5x(x - 2) = 0 }$

$\Large \color{MidnightBlue}{\Rightarrow x - 2 = 0 }$

$\Large \color{MidnightBlue}{\Rightarrow x = 2 }$

anonymous · Answer

The answer key tells me the answer is x=0, 2...where is the 0 coming from?

amorfide · Answer

parthkohli is wrong

5x²-10x=0
5x(x-2)=0
x=2
5x=0
x=0

x=2  ,  x=0

anonymous · Answer

Thanks :D

amorfide · Answer

anytime, happy to help :D

amorfide · Answer

if you follow sams method and divide by x you eliminate an answer 
you eliminate the possibility of x=0
don't follow that method you will only get half an answer