X=(1+0.05x)*(4000-80x)

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Solution for X=(1+0.05x)*(4000-80x) equation:



X=(1+0.05X)(4000-80X)
We move all terms to the left:
X-((1+0.05X)(4000-80X))=0
We add all the numbers together, and all the variables
X-((0.05X+1)(-80X+4000))=0
We multiply parentheses ..
-((+0X^2+0X-80X+4000))+X=0
We calculate terms in parentheses: -((+0X^2+0X-80X+4000)), so:
(+0X^2+0X-80X+4000)
We get rid of parentheses
0X^2+0X-80X+4000
We add all the numbers together, and all the variables
X^2-79X+4000
Back to the equation:
-(X^2-79X+4000)
We add all the numbers together, and all the variables
X-(X^2-79X+4000)=0
We get rid of parentheses
-X^2+X+79X-4000=0
We add all the numbers together, and all the variables
-1X^2+80X-4000=0
a = -1; b = 80; c = -4000;
Δ = b2-4ac
Δ = 802-4·(-1)·(-4000)
Δ = -9600
Delta is less than zero, so there is no solution for the equation

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