Answer
Zeros: $\dfrac{4}{5}$
$x$-intercepts: $\dfrac{4}{5}$
Work Step by Step
To find the zeros of a function $g$, solve the equation $g(x)=0$
The zeros of the function are also the $x-$intercepts.
Let $F(x)=0$:
$$25x^2+16-40x=0$$
Rearranging the Equation:
$$25x^2-40x+16$$
By Factoring:
$$(5x-4)(5x-4)=0$$
Use the Zero-PRoduct Property by equating each unique factor to zero, then solve each equation to obtain:
$5x -4 =0$
$5x = 4$
$x=\dfrac{4}{5}$
