(n+8)/(5n-2)=3/8

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Solution for (n+8)/(5n-2)=3/8 equation: 


D( n )

5*n-2 = 0

5*n-2 = 0

5*n-2 = 0

5*n-2 = 0 // + 2

5*n = 2 // : 5

n = 2/5

n in (-oo:2/5) U (2/5:+oo)

(n+8)/(5*n-2) = 3/8 // - 3/8

(n+8)/(5*n-2)-(3/8) = 0

(n+8)/(5*n-2)-3/8 = 0

(8*(n+8))/(8*(5*n-2))+(-3*(5*n-2))/(8*(5*n-2)) = 0

8*(n+8)-3*(5*n-2) = 0

70-7*n = 0

(70-7*n)/(8*(5*n-2)) = 0

(70-7*n)/(8*(5*n-2)) = 0 // * 8*(5*n-2)

70-7*n = 0

70-7*n = 0 // - 70

-7*n = -70 // : -7

n = -70/(-7)

n = 10

n = 10

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