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\left(12-5i\right)\left(-42.801\right)
Subtract 55.007 from 12.206 to get -42.801.
12\left(-42.801\right)-5i\left(-42.801\right)
Multiply 12-5i times -42.801.
-513.612+214.005i
Do the multiplications.
Re(\left(12-5i\right)\left(-42.801\right))
Subtract 55.007 from 12.206 to get -42.801.
Re(12\left(-42.801\right)-5i\left(-42.801\right))
Multiply 12-5i times -42.801.
Re(-513.612+214.005i)
Do the multiplications in 12\left(-42.801\right)-5i\left(-42.801\right).
-513.612
The real part of -513.612+214.005i is -513.612.