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9n(2n-8)=0
We multiply parentheses
18n^2-72n=0
a = 18; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·18·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{5184}=72$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*18}=\frac{0}{36} =0 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*18}=\frac{144}{36} =4 $
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