The fraction x2+210x2−13x−3\frac{x^2+2}{10x^2-13x-3}10x2−13x−3x2+2 is undefined when the denominator is equal to zero
then 10x2−13x−3=0\text{then } 10x^2 - 13x - 3 = 0then 10x2−13x−3=0
by factorisation, 10x2−13x−310x^2 - 13x - 310x2−13x−3 = 0 becomes 10x2−15x+2x−310x^2 - 15x + 2x - 310x2−15x+2x−3 = 0
5x(2x−3)+1(2x−3)=05x(2x - 3) + 1(2x - 3) = 05x(2x−3)+1(2x−3)=0
(5x+1)(2x−3)=0(5x + 1)(2x - 3) = 0(5x+1)(2x−3)=0
then, x=−15\text{then, } x = \frac{-1}{5}then, x=5−1 or 32\frac{3}{2}23
