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-3x^2-36x-96=0
a = -3; b = -36; c = -96;
Δ = b2-4ac
Δ = -362-4·(-3)·(-96)
Δ = 144
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{144}=12$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-12}{2*-3}=\frac{24}{-6} =-4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+12}{2*-3}=\frac{48}{-6} =-8 $
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