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(8y+4)(4y+8)=15y-9
We move all terms to the left:
(8y+4)(4y+8)-(15y-9)=0
We get rid of parentheses
(8y+4)(4y+8)-15y+9=0
We multiply parentheses ..
(+32y^2+64y+16y+32)-15y+9=0
We get rid of parentheses
32y^2+64y+16y-15y+32+9=0
We add all the numbers together, and all the variables
32y^2+65y+41=0
a = 32; b = 65; c = +41;
Δ = b2-4ac
Δ = 652-4·32·41
Δ = -1023
Delta is less than zero, so there is no solution for the equation
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