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(18-8y)(18-8y)+16y^2=71-36y
We move all terms to the left:
(18-8y)(18-8y)+16y^2-(71-36y)=0
We add all the numbers together, and all the variables
16y^2+(-8y+18)(-8y+18)-(-36y+71)=0
We get rid of parentheses
16y^2+(-8y+18)(-8y+18)+36y-71=0
We multiply parentheses ..
16y^2+(+64y^2-144y-144y+324)+36y-71=0
We get rid of parentheses
16y^2+64y^2-144y-144y+36y+324-71=0
We add all the numbers together, and all the variables
80y^2-252y+253=0
a = 80; b = -252; c = +253;
Δ = b2-4ac
Δ = -2522-4·80·253
Δ = -17456
Delta is less than zero, so there is no solution for the equation
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