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-6x^2-60x-126=0
a = -6; b = -60; c = -126;
Δ = b2-4ac
Δ = -602-4·(-6)·(-126)
Δ = 576
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{576}=24$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-24}{2*-6}=\frac{36}{-12} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+24}{2*-6}=\frac{84}{-12} =-7 $
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