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X+X*(20/100)=250
We move all terms to the left:
X+X*(20/100)-(250)=0
We add all the numbers together, and all the variables
X+X*(+20/100)-250=0
We multiply parentheses
20X^2+X-250=0
a = 20; b = 1; c = -250;
Δ = b2-4ac
Δ = 12-4·20·(-250)
Δ = 20001
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{-(1)-\sqrt{20001}}{2*20}=\frac{-1-\sqrt{20001}}{40} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{20001}}{2*20}=\frac{-1+\sqrt{20001}}{40} $
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