0=34.6x-5x^2

Solution for 0=34.6x-5x^2 equation:

0=34.6x-5x^2

We move all terms to the left:

0-(34.6x-5x^2)=0

We add all the numbers together, and all the variables

-(34.6x-5x^2)=0

We get rid of parentheses

5x^2-34.6x=0

a = 5; b = -34.6; c = 0;
Δ = b2-4ac
Δ = -34.62-4·5·0
Δ = 1197.16
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{-(-34.6)-\sqrt{1197.16}}{2*5}=\frac{34.6-\sqrt{1197.16}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34.6)+\sqrt{1197.16}}{2*5}=\frac{34.6+\sqrt{1197.16}}{10}
$