20x(X-40)=Y

Solution for 20x(X-40)=Y equation:

20x(x-40)=

We move all terms to the left:

20x(x-40)-()=0

We add all the numbers together, and all the variables

20x(x-40)=0

We multiply parentheses

20x^2-800x=0

a = 20; b = -800; c = 0;
Δ = b2-4ac
Δ = -8002-4·20·0
Δ = 640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{640000}=800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-800)-800}{2*20}=\frac{0}{40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-800)+800}{2*20}=\frac{1600}{40}
=40
$