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(12-2y)(12-2y)+(16+y)(16+y)=
We move all terms to the left:
(12-2y)(12-2y)+(16+y)(16+y)-()=0
We add all the numbers together, and all the variables
(-2y+12)(-2y+12)+(y+16)(y+16)-()=0
We add all the numbers together, and all the variables
(-2y+12)(-2y+12)+(y+16)(y+16)=0
We multiply parentheses ..
(+4y^2-24y-24y+144)+(y+16)(y+16)=0
We get rid of parentheses
4y^2-24y-24y+(y+16)(y+16)+144=0
We multiply parentheses ..
4y^2+(+y^2+16y+16y+256)-24y-24y+144=0
We add all the numbers together, and all the variables
4y^2+(+y^2+16y+16y+256)-48y+144=0
We get rid of parentheses
4y^2+y^2+16y+16y-48y+256+144=0
We add all the numbers together, and all the variables
5y^2-16y+400=0
a = 5; b = -16; c = +400;
Δ = b2-4ac
Δ = -162-4·5·400
Δ = -7744
Delta is less than zero, so there is no solution for the equation
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