Question

How to solve $\frac{5}{2x}=-10$?

Answer 1

Compute the required value:

Given: $\frac{5}{2x}=-10$

Multiply both the sides by $2$ and dividing both the sides by $5$, we get,

$$\begin{gathered} \Rightarrow 2\times \left(\frac{5}{2x}\right)=-10\times 2 \\ \Rightarrow \frac{5}{x}=-20 \\ \Rightarrow \frac{5}{5x}=-\frac{20}{5} \\ \Rightarrow \frac{1}{x}=-4 \\ \Rightarrow x=\frac{-1}{4} \end{gathered}$$

Hence, $x=\frac{-1}{4}$ is the required answer.