Answer:
[tex]x=0\ or\ x =-6[/tex]
Step-by-step explanation:
Given
[tex]x^2+6x=y[/tex]
Required
Determine the x intercepts
To get the x intercepts, we simply set y to 0
Substitute 0 for y;
[tex]x^2+6x=0[/tex]
Factorize:
[tex]x(x +6) = 0[/tex]
Apply zero product property
[tex]x=0\ or\ x + 6 =0[/tex]
[tex]x=0\ or\ x =-6[/tex]