2x=9x^(2/9)

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Solution for 2x=9x^(2/9) equation: 


x in (-oo:+oo)

2*x = 9*x^(2/9) // - 9*x^(2/9)

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

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

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

x^(2/9)*(2*x^(7/9)-9) = 0

2*x^(7/9) = 9 // : 2

x^(7/9) = 9/2

x^(7/9) = 9/2 // ^ 9

x^7 = 387420489/512 // ^ 1/7

x = (387420489/512)^(1/7)

x^(2/9) = 0

1*x^(2/9) = 0 // : 1

x^(2/9) = 0

x = 0

x in { (387420489/512)^(1/7), 0 }

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