(3x^2+12x+12)/(2x^2+x-6)*(4x^2-9)/(3x^3+x^2-10x)

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Solution for (3x^2+12x+12)/(2x^2+x-6)*(4x^2-9)/(3x^3+x^2-10x) equation:


D( x )

2*x^2+x-6 = 0

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

2*x^2+x-6 = 0

2*x^2+x-6 = 0

2*x^2+x-6 = 0

DELTA = 1^2-(-6*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(2*2) or x = (-49^(1/2)-1)/(2*2)

x = 3/2 or x = -2

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

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

3*x^3+x^2-10*x = 0

3*x^3+x^2-10*x = 0

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

3*x^2+x-10 = 0

DELTA = 1^2-(-10*3*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(2*3) or x = (-121^(1/2)-1)/(2*3)

x = 5/3 or x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:3/2) U (3/2:5/3) U (5/3:+oo)

(((3*x^2+12*x+12)/(2*x^2+x-6))*(4*x^2-9))/(3*x^3+x^2-(10*x)) = 0

(((3*x^2+12*x+12)/(2*x^2+x-6))*(4*x^2-9))/(3*x^3+x^2-10*x) = 0

((3*x^2+12*x+12)*(4*x^2-9))/((2*x^2+x-6)*(3*x^3+x^2-10*x)) = 0

3*x^2+12*x+12 = 0

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

x^2+4*x+4 = 0

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

DELTA = 0

x = -4/(1*2)

x = -2 or x = -2

3*(x+2)^2 = 0

2*x^2+x-6 = 0

2*x^2+x-6 = 0

DELTA = 1^2-(-6*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(2*2) or x = (-49^(1/2)-1)/(2*2)

x = 3/2 or x = -2

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

3*x^3+x^2-10*x = 0

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

3*x^2+x-10 = 0

DELTA = 1^2-(-10*3*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(2*3) or x = (-121^(1/2)-1)/(2*3)

x = 5/3 or x = -2

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

(3*(x+2)^2*(4*x^2-9))/(x*(x+2)^2*(x-3/2)*(x-5/3)) = 0

( 4*x^2-9 )

4*x^2 = 9 // : 4

x^2 = 9/4

x^2 = 9/4 // ^ 1/2

abs(x) = 3/2

x = 3/2 or x = -3/2

( x+2 )

x+2 = 0 // - 2

x = -2

x in { 3/2}

x in { -2}

x = -3/2

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