X(30x/100)=1500

Solution for X(30x/100)=1500 equation:

X(30X/100)=1500

We move all terms to the left:

X(30X/100)-(1500)=0

We add all the numbers together, and all the variables

X(+30X/100)-1500=0

We multiply parentheses

30X^2-1500=0

a = 30; b = 0; c = -1500;
Δ = b2-4ac
Δ = 02-4·30·(-1500)
Δ = 180000
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:

$\sqrt{\Delta}=\sqrt{180000}=\sqrt{90000*2}=\sqrt{90000}*\sqrt{2}=300\sqrt{2}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{2}}{2*30}=\frac{0-300\sqrt{2}}{60}
=-\frac{300\sqrt{2}}{60}
=-5\sqrt{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{2}}{2*30}=\frac{0+300\sqrt{2}}{60}
=\frac{300\sqrt{2}}{60}
=5\sqrt{2}
$