solve the equation x(cubed) -7x(squared)+10x=0

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- Apr 15th 2008, 03:38 AMhelpisherestuck on this simple question.
solve the equation x(cubed) -7x(squared)+10x=0

- Apr 15th 2008, 03:48 AMIsomorphism
$\displaystyle x^3 - 7x^2 + 10x = 0$

$\displaystyle x(x^2 - 7x + 10) = 0$

$\displaystyle x(x^2 - 5x - 2x + 10) = 0$

$\displaystyle x(x(x - 5) - 2(x - 5)) = 0$

$\displaystyle x (x - 5) (x - 2) = 0$

So x = 0,2,5

Dont trust my answer, substitute it back and check (Wink)