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500x(20-x)=0
We add all the numbers together, and all the variables
500x(-1x+20)=0
We multiply parentheses
-500x^2+10000x=0
a = -500; b = 10000; c = 0;
Δ = b2-4ac
Δ = 100002-4·(-500)·0
Δ = 100000000
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{100000000}=10000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10000)-10000}{2*-500}=\frac{-20000}{-1000} =+20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10000)+10000}{2*-500}=\frac{0}{-1000} =0 $
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