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y=225+(25y/(500))
We move all terms to the left:
y-(225+(25y/(500)))=0
We add all the numbers together, and all the variables
y-(225+(+25y/500))=0
We multiply all the terms by the denominator
y*500))-(225+(+25y=0
We add all the numbers together, and all the variables
25y+y*500))-(225+(=0
Wy multiply elements
500y^2+25y=0
a = 500; b = 25; c = 0;
Δ = b2-4ac
Δ = 252-4·500·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{625}=25$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-25}{2*500}=\frac{-50}{1000} =-1/20 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+25}{2*500}=\frac{0}{1000} =0 $
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