100x*30x=1500

Solution for 100x*30x=1500 equation:

100x*30x=1500

We move all terms to the left:

100x*30x-(1500)=0

Wy multiply elements

3000x^2-1500=0

a = 3000; b = 0; c = -1500;
Δ = b2-4ac
Δ = 02-4·3000·(-1500)
Δ = 18000000
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:

$\sqrt{\Delta}=\sqrt{18000000}=\sqrt{9000000*2}=\sqrt{9000000}*\sqrt{2}=3000\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3000\sqrt{2}}{2*3000}=\frac{0-3000\sqrt{2}}{6000}
=-\frac{3000\sqrt{2}}{6000}
=-\frac{\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3000\sqrt{2}}{2*3000}=\frac{0+3000\sqrt{2}}{6000}
=\frac{3000\sqrt{2}}{6000}
=\frac{\sqrt{2}}{2}
$