0.3x^2-1.8x=0

Solution for 0.3x^2-1.8x=0 equation:

0.3x^2-1.8x=0

a = 0.3; b = -1.8; c = 0;
Δ = b2-4ac
Δ = -1.82-4·0.3·0
Δ = 3.24
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.8)-\sqrt{3.24}}{2*0.3}=\frac{1.8-\sqrt{3.24}}{0.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+\sqrt{3.24}}{2*0.3}=\frac{1.8+\sqrt{3.24}}{0.6}
$