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X+4X(X-10)=122
We move all terms to the left:
X+4X(X-10)-(122)=0
We multiply parentheses
4X^2+X-40X-122=0
We add all the numbers together, and all the variables
4X^2-39X-122=0
a = 4; b = -39; c = -122;
Δ = b2-4ac
Δ = -392-4·4·(-122)
Δ = 3473
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{-(-39)-\sqrt{3473}}{2*4}=\frac{39-\sqrt{3473}}{8} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+\sqrt{3473}}{2*4}=\frac{39+\sqrt{3473}}{8} $
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