The given expression is
[tex] \frac{2x}{-5x+x^2} [/tex]
First we need to factor the denominator. And x is common in the denominator .
So we will get
[tex] \frac{2x}{x(-5+x)} [/tex]
Cancelling the common x of the numerator and denominator
[tex] \frac{2}{-5+x} [/tex]
And that's the simplified form .
Excluded values
Denominator should not be zero .
[tex] \-5x+x^2=0
\\ x(-5+x)=0
\\ x =0 , -5+x =0
\\x=0,5 [/tex]
So the excluded values are x=0,5 .
