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2x=79000+(x/40)
We move all terms to the left:
2x-(79000+(x/40))=0
We add all the numbers together, and all the variables
2x-(79000+(+x/40))=0
We multiply all the terms by the denominator
2x*40))-(79000+(+x=0
We add all the numbers together, and all the variables
x+2x*40))-(79000+(=0
Wy multiply elements
80x^2+x=0
a = 80; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·80·0
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*80}=\frac{-2}{160} =-1/80 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*80}=\frac{0}{160} =0 $
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