Question 253252
{{{(x^2+10x+16)/(2x-10)}}} Start with the given expression



{{{2x-10=0}}} Set the denominator equal to zero. Remember, dividing by 0 is undefined. 



{{{2x=0+10}}}Add 10 to both sides



{{{2x=10}}} Combine like terms on the right side



{{{x=(10)/(2)}}} Divide both sides by 2 to isolate x




{{{x=5}}} Divide



So {{{x=5}}} makes the expression {{{(x^2+10x+16)/(2x-10)}}} undefined since it makes the denominator {{{2x-10}}} equal to zero.