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1/4y+2+1/2y=-3/4y-5
We move all terms to the left:
1/4y+2+1/2y-(-3/4y-5)=0
Domain of the equation: 4y!=0
y!=0/4
y!=0
y∈R
Domain of the equation: 2y!=0
y!=0/2
y!=0
y∈R
Domain of the equation: 4y-5)!=0We get rid of parentheses
y∈R
1/4y+1/2y+3/4y+5+2=0
We calculate fractions
(6y+1)/8y^2+4y/8y^2+5+2=0
We add all the numbers together, and all the variables
(6y+1)/8y^2+4y/8y^2+7=0
We multiply all the terms by the denominator
(6y+1)+4y+7*8y^2=0
We add all the numbers together, and all the variables
4y+(6y+1)+7*8y^2=0
Wy multiply elements
56y^2+4y+(6y+1)=0
We get rid of parentheses
56y^2+4y+6y+1=0
We add all the numbers together, and all the variables
56y^2+10y+1=0
a = 56; b = 10; c = +1;
Δ = b2-4ac
Δ = 102-4·56·1
Δ = -124
Delta is less than zero, so there is no solution for the equation
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