4x2=80x

Solution for 4x2=80x equation:

4x^2=80x

We move all terms to the left:

4x^2-(80x)=0

a = 4; b = -80; c = 0;
Δ = b2-4ac
Δ = -802-4·4·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-80}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+80}{2*4}=\frac{160}{8}
=20
$