20(x*x)=3000000

Solution for 20(x*x)=3000000 equation:

20(x*x)=3000000

We move all terms to the left:

20(x*x)-(3000000)=0

We add all the numbers together, and all the variables

20(+x*x)-3000000=0

We multiply parentheses

20x^2-3000000=0

a = 20; b = 0; c = -3000000;
Δ = b2-4ac
Δ = 02-4·20·(-3000000)
Δ = 240000000
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:

$\sqrt{\Delta}=\sqrt{240000000}=\sqrt{16000000*15}=\sqrt{16000000}*\sqrt{15}=4000\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000\sqrt{15}}{2*20}=\frac{0-4000\sqrt{15}}{40}
=-\frac{4000\sqrt{15}}{40}
=-100\sqrt{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000\sqrt{15}}{2*20}=\frac{0+4000\sqrt{15}}{40}
=\frac{4000\sqrt{15}}{40}
=100\sqrt{15}
$