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30x^2-2x=80
We move all terms to the left:
30x^2-2x-(80)=0
a = 30; b = -2; c = -80;
Δ = b2-4ac
Δ = -22-4·30·(-80)
Δ = 9604
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{9604}=98$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-98}{2*30}=\frac{-96}{60} =-1+3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+98}{2*30}=\frac{100}{60} =1+2/3 $
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