5x+4/(2x+1)=3

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Solution for 5x+4/(2x+1)=3 equation:



5x+4/(2x+1)=3
We move all terms to the left:
5x+4/(2x+1)-(3)=0
Domain of the equation: (2x+1)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-1
x!=-1/2
x!=-1/2
x∈R
We multiply all the terms by the denominator
5x*(2x+1)-3*(2x+1)+4=0
We multiply parentheses
10x^2+5x-6x-3+4=0
We add all the numbers together, and all the variables
10x^2-1x+1=0
a = 10; b = -1; c = +1;
Δ = b2-4ac
Δ = -12-4·10·1
Δ = -39
Delta is less than zero, so there is no solution for the equation

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