(-x^2-2x)/(3x^2+7x+4)

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Solution for (-x^2-2x)/(3x^2+7x+4) equation:


D( x )

3*x^2+7*x+4 = 0

3*x^2+7*x+4 = 0

3*x^2+7*x+4 = 0

3*x^2+7*x+4 = 0

DELTA = 7^2-(3*4*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-7)/(2*3) or x = (-1^(1/2)-7)/(2*3)

x = -1 or x = -4/3

x in (-oo:-4/3) U (-4/3:-1) U (-1:+oo)

((-x)^2-(2*x))/(3*x^2+7*x+4) = 0

((-x)^2-2*x)/(3*x^2+7*x+4) = 0

(x^2-2*x)/(3*x^2+7*x+4) = 0

x^2-2*x = 0

x*(x-2) = 0

x-2 = 0 // + 2

x = 2

x*(x-2) = 0

3*x^2+7*x+4 = 0

3*x^2+7*x+4 = 0

DELTA = 7^2-(3*4*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-7)/(2*3) or x = (-1^(1/2)-7)/(2*3)

x = -1 or x = -4/3

(x+4/3)*(x+1) = 0

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

( x-2 )

x-2 = 0 // + 2

x = 2

( x )

x = 0

x in { 2, 0 }

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