5x-4=8/(x-2)

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Solution for 5x-4=8/(x-2) equation:


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

5*x-4 = 8/(x-2) // - 8/(x-2)

5*x-(8/(x-2))-4 = 0

5*x-8*(x-2)^-1-4 = 0

5*x-8/(x-2)-4 = 0

(5*x*(x-2))/(x-2)-8/(x-2)+(-4*(x-2))/(x-2) = 0

5*x*(x-2)-4*(x-2)-8 = 0

5*x^2-10*x-4*x-8+8 = 0

5*x^2-14*x = 0

5*x^2-14*x = 0

x*(5*x-14) = 0

5*x-14 = 0 // + 14

5*x = 14 // : 5

x = 14/5

x*(x-14/5) = 0

(x*(x-14/5))/(x-2) = 0

(x*(x-14/5))/(x-2) = 0 // * x-2

x*(x-14/5) = 0

( x-14/5 )

x-14/5 = 0 // + 14/5

x = 14/5

( x )

x = 0

x in { 14/5, 0 }

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