0,2x^2=180

Solution for 0,2x^2=180 equation:

0.2x^2=180

We move all terms to the left:

0.2x^2-(180)=0

a = 0.2; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·0.2·(-180)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*0.2}=\frac{-12}{0.4}
=-30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*0.2}=\frac{12}{0.4}
=30
$