Answer:

Step-by-step explanation:
We have been given an equation
. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.
Let us factor our given equation as:

Dividing both sides by 2:

Splitting the middle term:




Using zero product property:



Therefore, the zeros of the given equation are
.
We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.
We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

Therefore, the equation
represents the line of symmetry of the given parabola.