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X-(122-2X)(3X)-622=0
We add all the numbers together, and all the variables
X-(-2X+122)3X-622=0
We multiply parentheses
6X^2+X-366X-622=0
We add all the numbers together, and all the variables
6X^2-365X-622=0
a = 6; b = -365; c = -622;
Δ = b2-4ac
Δ = -3652-4·6·(-622)
Δ = 148153
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{-(-365)-\sqrt{148153}}{2*6}=\frac{365-\sqrt{148153}}{12} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-365)+\sqrt{148153}}{2*6}=\frac{365+\sqrt{148153}}{12} $
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