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8i(7+6i)=0
We add all the numbers together, and all the variables
8i(6i+7)=0
We multiply parentheses
48i^2+56i=0
a = 48; b = 56; c = 0;
Δ = b2-4ac
Δ = 562-4·48·0
Δ = 3136
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{3136}=56$$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-56}{2*48}=\frac{-112}{96} =-1+1/6 $$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+56}{2*48}=\frac{0}{96} =0 $
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