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0=2000p^2+150000p
We move all terms to the left:
0-(2000p^2+150000p)=0
We add all the numbers together, and all the variables
-(2000p^2+150000p)=0
We get rid of parentheses
-2000p^2-150000p=0
a = -2000; b = -150000; c = 0;
Δ = b2-4ac
Δ = -1500002-4·(-2000)·0
Δ = 22500000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{22500000000}=150000$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150000)-150000}{2*-2000}=\frac{0}{-4000} =0 $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150000)+150000}{2*-2000}=\frac{300000}{-4000} =-75 $
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