(9x^3+3x3-15x)/(-3x)

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Solution for (9x^3+3x3-15x)/(-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)

(9*x^3+3*x^3-(15*x))/(-3*x) = 0

(9*x^3+3*x^3-15*x)/(-3*x) = 0

(12*x^3-15*x)/(-3*x) = 0

12*x^3-15*x = 0

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

4*x^2 = 5 // : 4

x^2 = 5/4

x^2 = 5/4 // ^ 1/2

abs(x) = (5/4)^(1/2)

x = (5/4)^(1/2) or x = -(5/4)^(1/2)

3*x*(x-(5/4)^(1/2))*(x+(5/4)^(1/2)) = 0

(3*x*(x-(5/4)^(1/2))*(x+(5/4)^(1/2)))/(-3*x) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x+(5/4)^(1/2) )

x+(5/4)^(1/2) = 0 // - (5/4)^(1/2)

x = -(5/4)^(1/2)

( x-(5/4)^(1/2) )

x-(5/4)^(1/2) = 0 // + (5/4)^(1/2)

x = (5/4)^(1/2)

x in { 0}

x in { -(5/4)^(1/2), (5/4)^(1/2) }

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