Question

$$(z-3i^{\circ})(2+5i)=3-4i$$

Answer

z=(3-4*IM)/(2+5*IM)+3*deg*IM

Solution


Regroup terms.
\[(z-3deg\imath )(2+5\imath )=3-4\imath \]
Regroup terms.
\[(2+5\imath )(z-3deg\imath )=3-4\imath \]
Divide both sides by \(2+5\imath \).
\[z-3deg\imath =\frac{3-4\imath }{2+5\imath }\]
Add \(3deg\imath \) to both sides.
\[z=\frac{3-4\imath }{2+5\imath }+3deg\imath \]