0.8x^2=30

Solution for 0.8x^2=30 equation:

0.8x^2=30

We move all terms to the left:

0.8x^2-(30)=0

a = 0.8; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·0.8·(-30)
Δ = 96
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:

$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{6}}{2*0.8}=\frac{0-4\sqrt{6}}{1.6}
=-\frac{4\sqrt{6}}{1.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{6}}{2*0.8}=\frac{0+4\sqrt{6}}{1.6}
=\frac{4\sqrt{6}}{1.6}
$