X+3/7x=1080

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Solution for X+3/7x=1080 equation: 



X+3/7X=1080

We move all terms to the left:

X+3/7X-(1080)=0



Domain of the equation: 7X!=0

X!=0/7

X!=0

X∈R



We multiply all the terms by the denominator


X*7X-1080*7X+3=0

Wy multiply elements

7X^2-7560X+3=0

a = 7; b = -7560; c = +3;
Δ = b2-4ac
Δ = -75602-4·7·3
Δ = 57153516
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:


$\sqrt{\Delta}=\sqrt{57153516}=\sqrt{4*14288379}=\sqrt{4}*\sqrt{14288379}=2\sqrt{14288379}$


$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7560)-2\sqrt{14288379}}{2*7}=\frac{7560-2\sqrt{14288379}}{14}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7560)+2\sqrt{14288379}}{2*7}=\frac{7560+2\sqrt{14288379}}{14}
$

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