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1/7x-47/14=7/2x
We move all terms to the left:
1/7x-47/14-(7/2x)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 2x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
1/7x-(+7/2x)-47/14=0
We get rid of parentheses
1/7x-7/2x-47/14=0
We calculate fractions
(-1316x^2)/196x^2+28x/196x^2+(-686x)/196x^2=0
We multiply all the terms by the denominator
(-1316x^2)+28x+(-686x)=0
We get rid of parentheses
-1316x^2+28x-686x=0
We add all the numbers together, and all the variables
-1316x^2-658x=0
a = -1316; b = -658; c = 0;
Δ = b2-4ac
Δ = -6582-4·(-1316)·0
Δ = 432964
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{432964}=658$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-658)-658}{2*-1316}=\frac{0}{-2632} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-658)+658}{2*-1316}=\frac{1316}{-2632} =-1/2 $
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