Simplify the expression, if possible. State the excluded values, if any. 5x - 5/10x^2 - 25x + 15

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Simplify `(5x-5)/(10x^2-25x+15)` :

Factor the numerator ans denominator:

`(5x-5)/(10x^2-25x+15)`

`=(5(x-1))/(5(2x-3)(x-1))`

Use the multiplicative inverse and multiplicative identity properties to "cancel" same terms in numerator and denominator.

`=1/(2x-3)`

This agrees with the original expression at every x except `x=3/2,x=1`

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