598.9/6+x+95*x/x+6=95.8

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Solution for 598.9/6+x+95*x/x+6=95.8 equation: 



598.9/6+x+95x/x+6=95.8

We move all terms to the left:

598.9/6+x+95x/x+6-(95.8)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

x+95x/x-89.8+598.9/6=0

We calculate fractions


x+570x/6x+(598.9x)/6x-89.8=0

We add all the numbers together, and all the variables

x+570x/6x+(+598.9x)/6x-89.8=0

We multiply all the terms by the denominator


x*6x+570x+(+598.9x)-(89.8)*6x=0

We add all the numbers together, and all the variables

570x+x*6x+(+598.9x)-(89.8)*6x=0

We multiply parentheses

570x+x*6x+(+598.9x)-538.8x=0

Wy multiply elements

6x^2+570x+(+598.9x)-538.8x=0

We get rid of parentheses

6x^2+570x+598.9x-538.8x=0

We add all the numbers together, and all the variables

6x^2+630.1x=0

a = 6; b = 630.1; c = 0;
Δ = b2-4ac
Δ = 630.12-4·6·0
Δ = 397026.01
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{-(630.1)-\sqrt{397026.01}}{2*6}=\frac{-630.1-\sqrt{397026.01}}{12}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(630.1)+\sqrt{397026.01}}{2*6}=\frac{-630.1+\sqrt{397026.01}}{12}
$

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