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-1/4x-4+4/4x=1/2x+1
We move all terms to the left:
-1/4x-4+4/4x-(1/2x+1)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x+1)!=0We get rid of parentheses
x∈R
-1/4x+4/4x-1/2x-1-4=0
We calculate fractions
(8x-1)/8x^2+(-4x)/8x^2-1-4=0
We add all the numbers together, and all the variables
(8x-1)/8x^2+(-4x)/8x^2-5=0
We multiply all the terms by the denominator
(8x-1)+(-4x)-5*8x^2=0
Wy multiply elements
-40x^2+(8x-1)+(-4x)=0
We get rid of parentheses
-40x^2+8x-4x-1=0
We add all the numbers together, and all the variables
-40x^2+4x-1=0
a = -40; b = 4; c = -1;
Δ = b2-4ac
Δ = 42-4·(-40)·(-1)
Δ = -144
Delta is less than zero, so there is no solution for the equation
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