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7n^2+30n+8=0
a = 7; b = 30; c = +8;
Δ = b2-4ac
Δ = 302-4·7·8
Δ = 676
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{676}=26$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-26}{2*7}=\frac{-56}{14} =-4 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+26}{2*7}=\frac{-4}{14} =-2/7 $
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