(3/4)y+2y=1/2+4y-3

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Solution for (3/4)y+2y=1/2+4y-3 equation:



(3/4)y+2y=1/2+4y-3
We move all terms to the left:
(3/4)y+2y-(1/2+4y-3)=0
Domain of the equation: 4)y!=0
y!=0/1
y!=0
y∈R
Domain of the equation: 2+4y-3)!=0
We move all terms containing y to the left, all other terms to the right
4y-3)!=-2
y∈R
We add all the numbers together, and all the variables
(+3/4)y+2y-(4y+1/2-3)=0
We add all the numbers together, and all the variables
2y+(+3/4)y-(4y+1/2-3)=0
We multiply parentheses
3y^2+2y-(4y+1/2-3)=0
We get rid of parentheses
3y^2+2y-4y+3-1/2=0
We multiply all the terms by the denominator
3y^2*2+2y*2-4y*2-1+3*2=0
We add all the numbers together, and all the variables
3y^2*2+2y*2-4y*2+5=0
Wy multiply elements
6y^2+4y-8y+5=0
We add all the numbers together, and all the variables
6y^2-4y+5=0
a = 6; b = -4; c = +5;
Δ = b2-4ac
Δ = -42-4·6·5
Δ = -104
Delta is less than zero, so there is no solution for the equation

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