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(7-3i)(-8-i)=0
We add all the numbers together, and all the variables
(-3i+7)(-1i-8)=0
We multiply parentheses ..
(+3i^2+24i-7i-56)=0
We get rid of parentheses
3i^2+24i-7i-56=0
We add all the numbers together, and all the variables
3i^2+17i-56=0
a = 3; b = 17; c = -56;
Δ = b2-4ac
Δ = 172-4·3·(-56)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{961}=31$$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-31}{2*3}=\frac{-48}{6} =-8 $$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+31}{2*3}=\frac{14}{6} =2+1/3 $
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