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80x-3x^2-120-15x=0
We add all the numbers together, and all the variables
-3x^2+65x-120=0
a = -3; b = 65; c = -120;
Δ = b2-4ac
Δ = 652-4·(-3)·(-120)
Δ = 2785
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(65)-\sqrt{2785}}{2*-3}=\frac{-65-\sqrt{2785}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(65)+\sqrt{2785}}{2*-3}=\frac{-65+\sqrt{2785}}{-6} $
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