Answer
See the explanation
Work Step by Step
Firstly, equate the expression to zero (intersection to $x$-axis), then divide both sides by $5$.
$$5x^2-10x+5=0$$
$$x^2-2x+1=0$$
In this way, we got a perfect square trinomial, that automatically means one intersection point (touching) to $x$-axis.
Another solution is to calculate the discriminant and compare it to zero.
