30(10x)^2=60000

Solution for 30(10x)^2=60000 equation:

30(10x)^2=60000

We move all terms to the left:

30(10x)^2-(60000)=0

a = 3010; b = 0; c = -60000;
Δ = b2-4ac
Δ = 02-4·3010·(-60000)
Δ = 722400000
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:

$\sqrt{\Delta}=\sqrt{722400000}=\sqrt{160000*4515}=\sqrt{160000}*\sqrt{4515}=400\sqrt{4515}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400\sqrt{4515}}{2*3010}=\frac{0-400\sqrt{4515}}{6020}
=-\frac{400\sqrt{4515}}{6020}
=-\frac{20\sqrt{4515}}{301}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400\sqrt{4515}}{2*3010}=\frac{0+400\sqrt{4515}}{6020}
=\frac{400\sqrt{4515}}{6020}
=\frac{20\sqrt{4515}}{301}
$