7x+(3/7)x=9000

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Solution for 7x+(3/7)x=9000 equation: 



7x+(3/7)x=9000

We move all terms to the left:

7x+(3/7)x-(9000)=0



Domain of the equation: 7)x!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

7x+(+3/7)x-9000=0

We multiply parentheses

3x^2+7x-9000=0

a = 3; b = 7; c = -9000;
Δ = b2-4ac
Δ = 72-4·3·(-9000)
Δ = 108049
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{108049}}{2*3}=\frac{-7-\sqrt{108049}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{108049}}{2*3}=\frac{-7+\sqrt{108049}}{6}
$

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