Question

Solve this equation
`i x - 4i = 2`

Answer 1

x = 4 - 2i

Step-by-step explanation

To solve this equation for x, first, we have to add 4i to both sides,

`\begin{gathered} ix-4i+4i=2+4i \\ ix=2+4i \end{gathered}`

And then multiply both sides by i,

`i^2x=2i+4i^2`

Remember that i² = -1,

`-x=2i-4`

Multiply both sides by -1,

`x=4-2i`

Hence, the solution is x = 4 - 2i.