x*(30/100)=180000

Solution for x*(30/100)=180000 equation:

x*(30/100)=180000

We move all terms to the left:

x*(30/100)-(180000)=0

We add all the numbers together, and all the variables

x*(+30/100)-180000=0

We multiply parentheses

30x^2-180000=0

a = 30; b = 0; c = -180000;
Δ = b2-4ac
Δ = 02-4·30·(-180000)
Δ = 21600000
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:

$\sqrt{\Delta}=\sqrt{21600000}=\sqrt{1440000*15}=\sqrt{1440000}*\sqrt{15}=1200\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200\sqrt{15}}{2*30}=\frac{0-1200\sqrt{15}}{60}
=-\frac{1200\sqrt{15}}{60}
=-20\sqrt{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200\sqrt{15}}{2*30}=\frac{0+1200\sqrt{15}}{60}
=\frac{1200\sqrt{15}}{60}
=20\sqrt{15}
$