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3/8y-1/4y=2+1/4y
We move all terms to the left:
3/8y-1/4y-(2+1/4y)=0
Domain of the equation: 8y!=0
y!=0/8
y!=0
y∈R
Domain of the equation: 4y!=0
y!=0/4
y!=0
y∈R
Domain of the equation: 4y)!=0We add all the numbers together, and all the variables
y!=0/1
y!=0
y∈R
3/8y-1/4y-(1/4y+2)=0
We get rid of parentheses
3/8y-1/4y-1/4y-2=0
We calculate fractions
12y/32y^2+(-8y-1)/32y^2-2=0
We multiply all the terms by the denominator
12y+(-8y-1)-2*32y^2=0
Wy multiply elements
-64y^2+12y+(-8y-1)=0
We get rid of parentheses
-64y^2+12y-8y-1=0
We add all the numbers together, and all the variables
-64y^2+4y-1=0
a = -64; b = 4; c = -1;
Δ = b2-4ac
Δ = 42-4·(-64)·(-1)
Δ = -240
Delta is less than zero, so there is no solution for the equation
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