20w-15w^2=0

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Solution for 20w-15w^2=0 equation:



20w-15w^2=0
a = -15; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-15)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-15}=\frac{-40}{-30} =1+1/3 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-15}=\frac{0}{-30} =0 $

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