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0=16000x-2x^2
We move all terms to the left:
0-(16000x-2x^2)=0
We add all the numbers together, and all the variables
-(16000x-2x^2)=0
We get rid of parentheses
2x^2-16000x=0
a = 2; b = -16000; c = 0;
Δ = b2-4ac
Δ = -160002-4·2·0
Δ = 256000000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{256000000}=16000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16000)-16000}{2*2}=\frac{0}{4} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16000)+16000}{2*2}=\frac{32000}{4} =8000 $
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