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-2a^2-17a-30=0
a = -2; b = -17; c = -30;
Δ = b2-4ac
Δ = -172-4·(-2)·(-30)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{49}=7$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-7}{2*-2}=\frac{10}{-4} =-2+1/2 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+7}{2*-2}=\frac{24}{-4} =-6 $
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