(6x+54/7x^3)*(x/x^2-81)

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Solution for (6x+54/7x^3)*(x/x^2-81) equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

((54/7)*x^3+6*x)*(x/(x^2)-81) = 0

(54/7*x^3+6*x)*(x^-1-81) = 0

54/7*x^3+6*x = 0

6*x*(9/7*x^2+1) = 0

9/7*x^2 = -1 // : 9/7

x^2 = -7/9

6*x = 0

6*x*(x^-1-81) = 0

( 6*x )

6*x = 0 // : 6

x = 0

( x^-1-81 )

1*x^-1 = 81 // : 1

x^-1 = 81

-1 < 0

1/(x^1) = 81 // * x^1

1 = 81*x^1 // : 81

1/81 = x^1

x = 1/81

x in { 0}

x = 1/81

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