1/(x-5)=-4/3

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Solution for 1/(x-5)=-4/3 equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

1/(x-5) = -4/3 // + -4/3

1/(x-5)-(-4/3) = 0

1/(x-5)+4/3 = 0

(1*3)/(3*(x-5))+(4*(x-5))/(3*(x-5)) = 0

4*(x-5)+1*3 = 0

4*x-17 = 0

(4*x-17)/(3*(x-5)) = 0

(4*x-17)/(3*(x-5)) = 0 // * 3*(x-5)

4*x-17 = 0

4*x-17 = 0 // + 17

4*x = 17 // : 4

x = 17/4

x = 17/4

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