Answer:
[tex]x=2[/tex].
Step-by-step explanation:
The given rational expression is [tex]\frac{6x-12}{x-7}[/tex].
To find the x-value that makes the rational expression zero, we equate the whole function or just the numerator to zero and solve for x.
This implies that:
[tex]\frac{6x-12}{x-7}=0[/tex]
[tex]6x-12=0(x-7)[/tex].
[tex]6x-12=0[/tex].
[tex]6x=12[/tex].
Divide both sides by 6
[tex]x=2[/tex].
Therefore x=2 makes the rational expression zero.
