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-1/4x-4+3/4x=1/3x+1
We move all terms to the left:
-1/4x-4+3/4x-(1/3x+1)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 3x+1)!=0We get rid of parentheses
x∈R
-1/4x+3/4x-1/3x-1-4=0
We calculate fractions
(9x-1)/12x^2+(-4x)/12x^2-1-4=0
We add all the numbers together, and all the variables
(9x-1)/12x^2+(-4x)/12x^2-5=0
We multiply all the terms by the denominator
(9x-1)+(-4x)-5*12x^2=0
Wy multiply elements
-60x^2+(9x-1)+(-4x)=0
We get rid of parentheses
-60x^2+9x-4x-1=0
We add all the numbers together, and all the variables
-60x^2+5x-1=0
a = -60; b = 5; c = -1;
Δ = b2-4ac
Δ = 52-4·(-60)·(-1)
Δ = -215
Delta is less than zero, so there is no solution for the equation
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