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(7+5i)(8-6i)=-2i+86
We move all terms to the left:
(7+5i)(8-6i)-(-2i+86)=0
We add all the numbers together, and all the variables
(5i+7)(-6i+8)-(-2i+86)=0
We get rid of parentheses
(5i+7)(-6i+8)+2i-86=0
We multiply parentheses ..
(-30i^2+40i-42i+56)+2i-86=0
We get rid of parentheses
-30i^2+40i-42i+2i+56-86=0
We add all the numbers together, and all the variables
-30i^2-30=0
a = -30; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·(-30)·(-30)
Δ = -3600
Delta is less than zero, so there is no solution for the equation
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