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6m^2-30m-36=0
a = 6; b = -30; c = -36;
Δ = b2-4ac
Δ = -302-4·6·(-36)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1764}=42$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-42}{2*6}=\frac{-12}{12} =-1 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+42}{2*6}=\frac{72}{12} =6 $
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