Question

Calculus Newbie

Solve for x

(1+xi)(3+2i) = 1+5i

Please with steps or pictures

Answer 1

`(1 + xi)( 3 + 2i) = 1 + 5i \\ \\ \\ 1. \: (3 + 2i)(1 + xi) = 1 + 5i \\ \\ \\ 2. \: 1 + xi = (1 + 5i)/(3 + 5i) \\ \\ \\ 3. \: xi = (1 + 5i)/(3 + 2i) - 1 \\ \\ \\ 4. \: xi = - 1 + (1 + 5i)/(3 + 2i) \\ \\ \\ 5. \: x = ( - 1 + (1 + 5i)/(3 + 2i) )/(i) \\ \\ \\ 6. \: x = - ( - 1 + (1 + 5i)/(3 + 2i) )i`