[tex] \bf 5x^2-10x=0\implies \stackrel{\textit{we have a common factor of 5x}}{(5x)(x)-(5x)(2)=0}\implies \stackrel{\textit{taking out the common factor}}{(5x)[x-2]=0}
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\stackrel{\textit{and we can solve by }x}{5x=\cfrac{0}{x-2}}\implies 5x=0\implies x=\cfrac{0}{5}\implies \boxed{x=0}
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\stackrel{\textit{we can also solve it by }x}{x-2=\cfrac{0}{5x}}\implies x-2=0\implies \stackrel{\textit{adding 2 to both sides}}{\boxed{x=2}} [/tex]
