Given:
The equation is:
[tex]8x^2-23x=0[/tex]To find: x
Breaking the equation into factors,
[tex]x(8x-23)=0[/tex]Since the product of two terms is zero,then either of the two is zero .
Hence,either
[tex]x=0\text{ or (8x-23)=0}[/tex]Further solving,we get:
[tex]\begin{gathered} 8x-23=0 \\ 8x=23 \\ x=\frac{23}{8} \end{gathered}[/tex]The answer is: x=0 or x= 23/8
Or ,
[tex]x=0\text{ or x=2}\frac{7}{8}[/tex]