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60x+75x(x-1)=330
We move all terms to the left:
60x+75x(x-1)-(330)=0
We multiply parentheses
75x^2+60x-75x-330=0
We add all the numbers together, and all the variables
75x^2-15x-330=0
a = 75; b = -15; c = -330;
Δ = b2-4ac
Δ = -152-4·75·(-330)
Δ = 99225
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{99225}=315$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-315}{2*75}=\frac{-300}{150} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+315}{2*75}=\frac{330}{150} =2+1/5 $
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