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15b^2+22b+7=0
a = 15; b = 22; c = +7;
Δ = b2-4ac
Δ = 222-4·15·7
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{64}=8$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-8}{2*15}=\frac{-30}{30} =-1 $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+8}{2*15}=\frac{-14}{30} =-7/15 $
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