X*x*0,1=270

Solution for X*x*0,1=270 equation:

X*X*0.1=270

We move all terms to the left:

X*X*0.1-(270)=0

Wy multiply elements

0.1X^2-270=0

a = 0.1; b = 0; c = -270;
Δ = b2-4ac
Δ = 02-4·0.1·(-270)
Δ = 108
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:

$\sqrt{\Delta}=\sqrt{108}=\sqrt{36*3}=\sqrt{36}*\sqrt{3}=6\sqrt{3}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{3}}{2*0.1}=\frac{0-6\sqrt{3}}{0.2}
=-\frac{6\sqrt{3}}{0.2}
=-\frac{\sqrt{3}}{0.033333333333333}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{3}}{2*0.1}=\frac{0+6\sqrt{3}}{0.2}
=\frac{6\sqrt{3}}{0.2}
=\frac{\sqrt{3}}{0.033333333333333}
$