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(5+4i)(7-4i)=102+16i
We move all terms to the left:
(5+4i)(7-4i)-(102+16i)=0
We add all the numbers together, and all the variables
(4i+5)(-4i+7)-(16i+102)=0
We get rid of parentheses
(4i+5)(-4i+7)-16i-102=0
We multiply parentheses ..
(-16i^2+28i-20i+35)-16i-102=0
We get rid of parentheses
-16i^2+28i-20i-16i+35-102=0
We add all the numbers together, and all the variables
-16i^2-8i-67=0
a = -16; b = -8; c = -67;
Δ = b2-4ac
Δ = -82-4·(-16)·(-67)
Δ = -4224
Delta is less than zero, so there is no solution for the equation
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