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27n^2+72n=0
a = 27; b = 72; c = 0;
Δ = b2-4ac
Δ = 722-4·27·0
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$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-72}{2*27}=\frac{-144}{54} =-2+2/3 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+72}{2*27}=\frac{0}{54} =0 $
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