(3x^3-9x)/(7x-21)

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Solution for (3x^3-9x)/(7x-21) equation:


D( x )

7*x-21 = 0

7*x-21 = 0

7*x-21 = 0

7*x-21 = 0 // + 21

7*x = 21 // : 7

x = 21/7

x = 3

x in (-oo:3) U (3:+oo)

(3*x^3-(9*x))/(7*x-21) = 0

(3*x^3-9*x)/(7*x-21) = 0

3*x^3-9*x = 0

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

1*x^2 = 3 // : 1

x^2 = 3

x^2 = 3 // ^ 1/2

abs(x) = 3^(1/2)

x = 3^(1/2) or x = -3^(1/2)

3*x*(x-3^(1/2))*(x+3^(1/2)) = 0

(3*x*(x-3^(1/2))*(x+3^(1/2)))/(7*x-21) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x+3^(1/2) )

x+3^(1/2) = 0 // - 3^(1/2)

x = -3^(1/2)

( x-3^(1/2) )

x-3^(1/2) = 0 // + 3^(1/2)

x = 3^(1/2)

x in { 0, -3^(1/2), 3^(1/2) }

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