(51x^3-42x)/(-3x)

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Solution for (51x^3-42x)/(-3x) equation:


D( x )

-3*x = 0

-3*x = 0

-3*x = 0

-3*x = 0 // : -3

x = 0

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

(51*x^3-(42*x))/(-3*x) = 0

(51*x^3-42*x)/(-3*x) = 0

51*x^3-42*x = 0

3*x*(17*x^2-14) = 0

17*x^2 = 14 // : 17

x^2 = 14/17

x^2 = 14/17 // ^ 1/2

abs(x) = (14/17)^(1/2)

x = (14/17)^(1/2) or x = -(14/17)^(1/2)

3*x*(x-(14/17)^(1/2))*(x+(14/17)^(1/2)) = 0

(3*x*(x-(14/17)^(1/2))*(x+(14/17)^(1/2)))/(-3*x) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x+(14/17)^(1/2) )

x+(14/17)^(1/2) = 0 // - (14/17)^(1/2)

x = -(14/17)^(1/2)

( x-(14/17)^(1/2) )

x-(14/17)^(1/2) = 0 // + (14/17)^(1/2)

x = (14/17)^(1/2)

x in { 0}

x in { -(14/17)^(1/2), (14/17)^(1/2) }

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