5n(3-1)=6n

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Solution for 5n(3-1)=6n equation:



5n(3-1)=6n
We move all terms to the left:
5n(3-1)-(6n)=0
We add all the numbers together, and all the variables
5n2-6n=0
We add all the numbers together, and all the variables
5n^2-6n=0
a = 5; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·5·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*5}=\frac{0}{10} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*5}=\frac{12}{10} =1+1/5 $

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