Question

8x+x(x-2)=0
f(x)=8x+x(x-2) - Find the x-intercepts

Answer 1

start with
\[f(x)=8x+x^2-2x=x^2+6x\]

Answer 2

then if you want the x- intercepts (zeros) set
\[x^2+6x=0\]
\[x(x+6)=0\]
\[x=0,\text{ or } x =-6\]