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(5/2)+(3/2)y=2y-3
We move all terms to the left:
(5/2)+(3/2)y-(2y-3)=0
Domain of the equation: 2)y!=0We add all the numbers together, and all the variables
y!=0/1
y!=0
y∈R
(+3/2)y-(2y-3)+(+5/2)=0
We multiply parentheses
3y^2-(2y-3)+(+5/2)=0
We get rid of parentheses
3y^2-2y+3+5/2=0
We multiply all the terms by the denominator
3y^2*2-2y*2+5+3*2=0
We add all the numbers together, and all the variables
3y^2*2-2y*2+11=0
Wy multiply elements
6y^2-4y+11=0
a = 6; b = -4; c = +11;
Δ = b2-4ac
Δ = -42-4·6·11
Δ = -248
Delta is less than zero, so there is no solution for the equation
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