Respuesta :
Solution:
To determine the equation which will give
[tex]x=0[/tex]as a solution, we will solve through the given options.
Thus,
[tex]\begin{gathered} 4x=-4 \\ divide\text{ both sides by the coefficient of x, which is 4} \\ \frac{4x}{4}=-\frac{4}{4} \\ \Rightarrow x=-1 \end{gathered}[/tex][tex]\begin{gathered} 6x=\frac{1}{6} \\ multiply\text{ through by 6,} \\ 6(6x)=6(\frac{1}{6}) \\ \Rightarrow36x=1 \\ divide\text{ both sides by the coefficient of x, which is 36} \\ \frac{36x}{36}=\frac{1}{36} \\ \Rightarrow x=\frac{1}{36} \end{gathered}[/tex][tex]\begin{gathered} 7\frac{3}{8}x=0 \\ convert\text{ the mixed fraction to an improper fraction,} \\ \frac{59}{8}x=0 \\ divide\text{ both sides by the coefficient of x, which is }\frac{59}{8} \\ \frac{\frac{59}{8}x}{\frac{59}{8}}=\frac{0}{\frac{59}{8}} \\ \Rightarrow x=0 \end{gathered}[/tex][tex]\begin{gathered} 1000x=0.001 \\ divide\text{ both sides by the coefficient of x, which is 1000} \\ \frac{1000x}{1000}=\frac{0.001}{1000} \\ \Rightarrow x=1\times10^{-6} \end{gathered}[/tex]Hence, the equation that would give a solution of x=0, is
[tex]7\times\frac{3}{8}x=0[/tex]