0,6x2=3x

Solution for 0,6x2=3x equation:

0.6x^2=3x

We move all terms to the left:

0.6x^2-(3x)=0

a = 0.6; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·0.6·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*0.6}=\frac{0}{1.2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*0.6}=\frac{6}{1.2}
=5
$