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6(x^2)+66x-156=0
a = 6; b = 66; c = -156;
Δ = b2-4ac
Δ = 662-4·6·(-156)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{8100}=90$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-90}{2*6}=\frac{-156}{12} =-13 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+90}{2*6}=\frac{24}{12} =2 $
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