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-6i-(1-7i)-2-2(-4i)(5-8i)=0
We add all the numbers together, and all the variables
-6i-(-7i+1)-2(-4i)(-8i+5)-2=0
We get rid of parentheses
-6i+7i-2(-4i)(-8i+5)-1-2=0
We multiply parentheses ..
-2(+32i^2-20i)-6i+7i-1-2=0
We add all the numbers together, and all the variables
-2(+32i^2-20i)+i-3=0
We multiply parentheses
-64i^2+40i+i-3=0
We add all the numbers together, and all the variables
-64i^2+41i-3=0
a = -64; b = 41; c = -3;
Δ = b2-4ac
Δ = 412-4·(-64)·(-3)
Δ = 913
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}$$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-\sqrt{913}}{2*-64}=\frac{-41-\sqrt{913}}{-128} $$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+\sqrt{913}}{2*-64}=\frac{-41+\sqrt{913}}{-128} $
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