4x^3/(6x^-2)+6x^3/(-5x^-4)

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Solution for 4x^3/(6x^-2)+6x^3/(-5x^-4) equation:


D( x )

x = 0

-5*x^-4 = 0

6*x^-2 = 0

x = 0

x = 0

-5*x^-4 = 0

-5*x^-4 = 0

-5*x^-4 = 0 // : -5

x^-4 = 0

x naleu017Cy do O

6*x^-2 = 0

6*x^-2 = 0

6*x^-2 = 0 // : 6

x^-2 = 0

x naleu017Cy do O

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

(6*x^3)/(-5*x^-4)+(4*x^3)/(6*x^-2) = 0

2/3*x^5-6/5*x^7 = 0

2*x^5*(1/3-3/5*x^2) = 0

-3/5*x^2 = -1/3 // : -3/5

x^2 = 5/9

x^2 = 5/9 // ^ 1/2

abs(x) = (5/9)^(1/2)

x = (5/9)^(1/2) or x = -(5/9)^(1/2)

2*x^5 = 0

2*x^5 = 0 // : 2

x^5 = 0

x = 0

x in { 0}

x in { (5/9)^(1/2), -(5/9)^(1/2) }

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