0.8x^2+30.8x=x

Solution for 0.8x^2+30.8x=x equation:

0.8x^2+30.8x=x

We move all terms to the left:

0.8x^2+30.8x-(x)=0

We add all the numbers together, and all the variables

0.8x^2+29.8x=0

a = 0.8; b = 29.8; c = 0;
Δ = b2-4ac
Δ = 29.82-4·0.8·0
Δ = 888.04
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{-(29.8)-\sqrt{888.04}}{2*0.8}=\frac{-29.8-\sqrt{888.04}}{1.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29.8)+\sqrt{888.04}}{2*0.8}=\frac{-29.8+\sqrt{888.04}}{1.6}
$