0.2x^2=5-3.2x

Solution for 0.2x^2=5-3.2x equation:

0.2x^2=5-3.2x

We move all terms to the left:

0.2x^2-(5-3.2x)=0

We add all the numbers together, and all the variables

0.2x^2-(-3.2x+5)=0

We get rid of parentheses

0.2x^2+3.2x-5=0

a = 0.2; b = 3.2; c = -5;
Δ = b2-4ac
Δ = 3.22-4·0.2·(-5)
Δ = 14.24
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{-(3.2)-\sqrt{14.24}}{2*0.2}=\frac{-3.2-\sqrt{14.24}}{0.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.2)+\sqrt{14.24}}{2*0.2}=\frac{-3.2+\sqrt{14.24}}{0.4}
$