x*x*0.15=10000

Solution for x*x*0.15=10000 equation:

x*x*0.15=10000

We move all terms to the left:

x*x*0.15-(10000)=0

Wy multiply elements

0.15x^2-10000=0

a = 0.15; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·0.15·(-10000)
Δ = 6000
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:

$\sqrt{\Delta}=\sqrt{6000}=\sqrt{400*15}=\sqrt{400}*\sqrt{15}=20\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{15}}{2*0.15}=\frac{0-20\sqrt{15}}{0.3}
=-\frac{20\sqrt{15}}{0.3}
=-\frac{\sqrt{15}}{0.015}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{15}}{2*0.15}=\frac{0+20\sqrt{15}}{0.3}
=\frac{20\sqrt{15}}{0.3}
=\frac{\sqrt{15}}{0.015}
$