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5y+12=-8/y
We move all terms to the left:
5y+12-(-8/y)=0
Domain of the equation: y)!=0We get rid of parentheses
y!=0/1
y!=0
y∈R
5y+8/y+12=0
We multiply all the terms by the denominator
5y*y+12*y+8=0
We add all the numbers together, and all the variables
12y+5y*y+8=0
Wy multiply elements
5y^2+12y+8=0
a = 5; b = 12; c = +8;
Δ = b2-4ac
Δ = 122-4·5·8
Δ = -16
Delta is less than zero, so there is no solution for the equation
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