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Brut [27]
3 years ago
9

How to i solve 5x^2-10x=0

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

\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} \\\\[-0.35em] ~\dotfill\\\\ \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} \\\\[-0.35em] ~\dotfill\\\\ \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}}

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