Since the right side is 0, so equate each factor by 0 and find the values of x
Put 3x - 14 = 0 and 8x + 13 = 0
3x - 14 = 0
Add 14 to both sides
3x - 14 + 14 = 0 + 14
3x = 14
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{14}{3}[/tex][tex]x=\frac{14}{3}[/tex]This is the first value of x
Let us do the same with other factor
8x + 13 = 0
Subtract 13 from both sides
8x + 13 - 13 = 0 - 13
8x = - 13
Divide both sides by 8
[tex]\frac{8x}{8}=-\frac{13}{8}[/tex][tex]x=-\frac{13}{8}[/tex]This is the second value of x
So the two values of x are
[tex]\frac{14}{3},-\frac{13}{8}[/tex]