0,4x^2=2,4x

Solution for 0,4x^2=2,4x equation:

0.4x^2=2.4x

We move all terms to the left:

0.4x^2-(2.4x)=0

We add all the numbers together, and all the variables

0.4x^2-(+2.4x)=0

We get rid of parentheses

0.4x^2-2.4x=0

a = 0.4; b = -2.4; c = 0;
Δ = b2-4ac
Δ = -2.42-4·0.4·0
Δ = 5.76
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{-(-2.4)-\sqrt{5.76}}{2*0.4}=\frac{2.4-\sqrt{5.76}}{0.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.4)+\sqrt{5.76}}{2*0.4}=\frac{2.4+\sqrt{5.76}}{0.8}
$