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1/4x+2+1/2x=1/4x-5
We move all terms to the left:
1/4x+2+1/2x-(1/4x-5)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 4x-5)!=0We get rid of parentheses
x∈R
1/4x+1/2x-1/4x+5+2=0
We calculate fractions
(-2x+1)/8x^2+4x/8x^2+5+2=0
We add all the numbers together, and all the variables
(-2x+1)/8x^2+4x/8x^2+7=0
We multiply all the terms by the denominator
(-2x+1)+4x+7*8x^2=0
We add all the numbers together, and all the variables
4x+(-2x+1)+7*8x^2=0
Wy multiply elements
56x^2+4x+(-2x+1)=0
We get rid of parentheses
56x^2+4x-2x+1=0
We add all the numbers together, and all the variables
56x^2+2x+1=0
a = 56; b = 2; c = +1;
Δ = b2-4ac
Δ = 22-4·56·1
Δ = -220
Delta is less than zero, so there is no solution for the equation
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