8*150*x*5=10000

Solution for 8*150*x*5=10000 equation:

8*150*x*5=10000

We move all terms to the left:

8*150*x*5-(10000)=0

Wy multiply elements

6000x*x-10000=0

Wy multiply elements

6000x^2-10000=0

a = 6000; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·6000·(-10000)
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*6000}=\frac{0-4000\sqrt{15}}{12000}
=-\frac{4000\sqrt{15}}{12000}
=-\frac{\sqrt{15}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000\sqrt{15}}{2*6000}=\frac{0+4000\sqrt{15}}{12000}
=\frac{4000\sqrt{15}}{12000}
=\frac{\sqrt{15}}{3}
$