(x^(3)-3x^(2)-4x)/(-4x^(2)-12x-8)

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Solution for (x^(3)-3x^(2)-4x)/(-4x^(2)-12x-8) equation:


D( x )

-4*x^2-(12*x)-8 = 0

-4*x^2-(12*x)-8 = 0

-4*x^2-(12*x)-8 = 0

-4*x^2-12*x-8 = 0

-4*x^2-12*x-8 = 0

DELTA = (-12)^2-(-8*(-4)*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+12)/(-4*2) or x = (12-16^(1/2))/(-4*2)

x = -2 or x = -1

x in (-oo:-2) U (-2:-1) U (-1:+oo)

(x^3-(3*x^2)-(4*x))/(-4*x^2-(12*x)-8) = 0

(x^3-3*x^2-4*x)/(-4*x^2-12*x-8) = 0

x^3-3*x^2-4*x = 0

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

x^2-3*x-4 = 0

DELTA = (-3)^2-(-4*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(1*2) or x = (3-25^(1/2))/(1*2)

x = 4 or x = -1

x*(x+1)*(x-4) = 0

-4*x^2-12*x-8 = 0

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

x^2+3*x+2 = 0

DELTA = 3^2-(1*2*4)

DELTA = 1

DELTA > 0

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

x = -1 or x = -2

-4*(x+2)*(x+1) = 0

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-4 )

x-4 = 0 // + 4

x = 4

( x )

x = 0

x in { -1}

x in { 4, 0 }

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