3+9/4=9/(x-4)

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Solution for 3+9/4=9/(x-4) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

9/4+3 = 9/(x-4) // - 9/(x-4)

9/4-(9/(x-4))+3 = 0

9/4-9*(x-4)^-1+3 = 0

9/4-9/(x-4)+3 = 0

(-9*4)/(4*(x-4))+(9*(x-4))/(4*(x-4))+(3*4*(x-4))/(4*(x-4)) = 0

9*(x-4)+3*4*(x-4)-9*4 = 0

9*x+12*x-72-48 = 0

21*x-120 = 0

(21*x-120)/(4*(x-4)) = 0

(21*x-120)/(4*(x-4)) = 0 // * 4*(x-4)

21*x-120 = 0

21*x-120 = 0 // + 120

21*x = 120 // : 21

x = 120/21

x = 40/7

x = 40/7

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