(x)/(2-9x)+(4x)/(9x-2)

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Solution for (x)/(2-9x)+(4x)/(9x-2) equation:


D( x )

9*x-2 = 0

2-(9*x) = 0

9*x-2 = 0

9*x-2 = 0

9*x-2 = 0 // + 2

9*x = 2 // : 9

x = 2/9

2-(9*x) = 0

2-(9*x) = 0

2-9*x = 0

2-9*x = 0 // - 2

-9*x = -2 // : -9

x = -2/(-9)

x = 2/9

x in (-oo:2/9) U (2/9:+oo)

x/(2-(9*x))+(4*x)/(9*x-2) = 0

x/(2-9*x)+(4*x)/(9*x-2) = 0

(x*(9*x-2))/((2-9*x)*(9*x-2))+(4*x*(2-9*x))/((2-9*x)*(9*x-2)) = 0

x*(9*x-2)+4*x*(2-9*x) = 0

6*x-27*x^2 = 0

6*x-27*x^2 = 0

3*x*(2-9*x) = 0

2-9*x = 0 // - 2

-9*x = -2 // : -9

x = -2/(-9)

x = 2/9

3*x*(x-2/9) = 0

(3*x*(x-2/9))/((2-9*x)*(9*x-2)) = 0

(3*x*(x-2/9))/((2-9*x)*(9*x-2)) = 0 // * (2-9*x)*(9*x-2)

3*x*(x-2/9) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x-2/9 )

x-2/9 = 0 // + 2/9

x = 2/9

x in { 2/9}

x = 0

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