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53x(3x-3)=2
We move all terms to the left:
53x(3x-3)-(2)=0
We multiply parentheses
159x^2-159x-2=0
a = 159; b = -159; c = -2;
Δ = b2-4ac
Δ = -1592-4·159·(-2)
Δ = 26553
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{-(-159)-\sqrt{26553}}{2*159}=\frac{159-\sqrt{26553}}{318} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-159)+\sqrt{26553}}{2*159}=\frac{159+\sqrt{26553}}{318} $
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