Multiply both numerator and denominator of by the complex conjugate of the denominator, -2+9i.
Multiplication can be transformed into difference of squares using the rule: .
By definition, i² is -1. Calculate the denominator.
Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.
Do the multiplications in .
Combine the real and imaginary parts in -10+45i+6i+27.
Do the additions in .
Divide 17+51i by 85 to get .
The real part of is
.