30000/1.05^6=x

Solution for 30000/1.05^6=x equation:

30000/1.05^6=x

We move all terms to the left:

30000/1.05^6-(x)=0

We add all the numbers together, and all the variables

-1x+30000/1.05^6=0

We multiply all the terms by the denominator


-1x*1.05^6+30000=0

Wy multiply elements

-1x^2+30000=0

a = -1; b = 0; c = +30000;
Δ = b2-4ac
Δ = 02-4·(-1)·30000
Δ = 120000
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:

$\sqrt{\Delta}=\sqrt{120000}=\sqrt{40000*3}=\sqrt{40000}*\sqrt{3}=200\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{3}}{2*-1}=\frac{0-200\sqrt{3}}{-2}
=-\frac{200\sqrt{3}}{-2}
=-\frac{100\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{3}}{2*-1}=\frac{0+200\sqrt{3}}{-2}
=\frac{200\sqrt{3}}{-2}
=\frac{100\sqrt{3}}{-1}
$