SOLUTION: Solve the following for x: {{{ (1 + xi)(3 + 2i) = 1 + 5i }}}

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Question 1178610: Solve the following for x: +%281+%2B+xi%29%283+%2B+2i%29+=+1+%2B+5i+
Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39621) About Me  (Show Source):
Answer by math_helper(2461) About Me  (Show Source):
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(1+xi)(3+2i) 

=3+2i+3xi+2xi^2

=(3-2x)+i(3x+2)



3-2x=1  ==> x=1



3x+2=5  ==> x=1  (they must be consistent, or else there is no solution)