x-(x/35,558.13)=50,000

Solution for x-(x/35,558.13)=50,000 equation:

x-(x/35.558.13)=50.000

We move all terms to the left:

x-(x/35.558.13)-(50.000)=0

We add all the numbers together, and all the variables

x-(+x/35.558.13)-50=0

We get rid of parentheses

x-x/35.558.13-50=0

We multiply all the terms by the denominator


x*35.558.13-x-50*35.558.13=0

We add all the numbers together, and all the variables

-1x+x*35.558.13-231.127=0

Wy multiply elements

35x^2-1x-231.127=0

a = 35; b = -1; c = -231.127;
Δ = b2-4ac
Δ = -12-4·35·(-231.127)
Δ = 32358.78
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{-(-1)-\sqrt{32358.78}}{2*35}=\frac{1-\sqrt{32358.78}}{70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{32358.78}}{2*35}=\frac{1+\sqrt{32358.78}}{70}
$