The zeros of the function are also called the roots. Thus, this problem is basically locating the root of the given equation.
To locate the roots, we equate the equation f(x) to 0.
We then dissect each term to identify a, b, and c in the quadratic equation formula:
x = (- b +- √(b²-4ac))/2a
a = 2
b = 8
c = -3
x1 = 0.3452
x2 = -4.345