0.3x^2=0.1=0.5x

Solution for 0.3x^2=0.1=0.5x equation:

0.3x^2=0.1=0.5x

We move all terms to the left:

0.3x^2-(0.1)=0

We add all the numbers together, and all the variables

0.3x^2-0.1=0

a = 0.3; b = 0; c = -0.1;
Δ = b2-4ac
Δ = 02-4·0.3·(-0.1)
Δ = 0.12
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{-(0)-\sqrt{0.12}}{2*0.3}=\frac{0-\sqrt{0.12}}{0.6}
=-\frac{\sqrt{}}{0.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.12}}{2*0.3}=\frac{0+\sqrt{0.12}}{0.6}
=\frac{\sqrt{}}{0.6}
$