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5/2x+10/2x+14=4/x+7
We move all terms to the left:
5/2x+10/2x+14-(4/x+7)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: x+7)!=0We get rid of parentheses
x∈R
5/2x+10/2x-4/x-7+14=0
We calculate fractions
(10x+5)/2x^2+(-8x)/2x^2-7+14=0
We add all the numbers together, and all the variables
(10x+5)/2x^2+(-8x)/2x^2+7=0
We multiply all the terms by the denominator
(10x+5)+(-8x)+7*2x^2=0
Wy multiply elements
14x^2+(10x+5)+(-8x)=0
We get rid of parentheses
14x^2+10x-8x+5=0
We add all the numbers together, and all the variables
14x^2+2x+5=0
a = 14; b = 2; c = +5;
Δ = b2-4ac
Δ = 22-4·14·5
Δ = -276
Delta is less than zero, so there is no solution for the equation
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