(25x^3+15x^2-30x)/(5x)

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Solution for (25x^3+15x^2-30x)/(5x) equation:


D( x )

5*x = 0

5*x = 0

5*x = 0

5*x = 0 // : 5

x = 0

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

(25*x^3+15*x^2-(30*x))/(5*x) = 0

(25*x^3+15*x^2-30*x)/(5*x) = 0

25*x^3+15*x^2-30*x = 0

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

5*x^2+3*x-6 = 0

DELTA = 3^2-(-6*4*5)

DELTA = 129

DELTA > 0

x = (129^(1/2)-3)/(2*5) or x = (-129^(1/2)-3)/(2*5)

x = (129^(1/2)-3)/10 or x = (-(129^(1/2)+3))/10

5*x*(x+(129^(1/2)+3)/10)*(x-((129^(1/2)-3)/10)) = 0

(x+(129^(1/2)+3)/10)*(x-((129^(1/2)-3)/10)) = 0

( x+(129^(1/2)+3)/10 )

x+(129^(1/2)+3)/10 = 0 // - (129^(1/2)+3)/10

x = -((129^(1/2)+3)/10)

( x-((129^(1/2)-3)/10) )

x-((129^(1/2)-3)/10) = 0 // + (129^(1/2)-3)/10

x = (129^(1/2)-3)/10

x in { -((129^(1/2)+3)/10), (129^(1/2)-3)/10 }

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