((6x^2-6)/(8x^2+8x))/((3-3x)/(4x^2+4x))

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Solution for ((6x^2-6)/(8x^2+8x))/((3-3x)/(4x^2+4x)) equation:


D( x )

4*x^2+4*x = 0

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

8*x^2+8*x = 0

4*x^2+4*x = 0

4*x^2+4*x = 0

4*x^2+4*x = 0

DELTA = 4^2-(0*4*4)

DELTA = 16

DELTA > 0

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

x = 0 or x = -1

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

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

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

4*x^2+4*x = 0

4*x*(x+1) = 0

x+1 = 0 // - 1

x = -1

4*x*(x+1) = 0

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

3-3*x = 0 // - 3

-3*x = -3 // : -3

x = -3/(-3)

x = 1

8*x^2+8*x = 0

8*x^2+8*x = 0

8*x^2+8*x = 0

DELTA = 8^2-(0*4*8)

DELTA = 64

DELTA > 0

x = (64^(1/2)-8)/(2*8) or x = (-64^(1/2)-8)/(2*8)

x = 0 or x = -1

x in (-oo:-1) U (-1:0) U (0:1) U (1:+oo)

((6*x^2-6)/(8*x^2+8*x))/((3-(3*x))/(4*x^2+4*x)) = 0

((6*x^2-6)/(8*x^2+8*x))/((3-3*x)/(4*x^2+4*x)) = 0

((6*x^2-6)*(4*x^2+4*x))/((8*x^2+8*x)*(3-3*x)) = 0

8*x^2+8*x = 0

8*x*(x+1) = 0

x+1 = 0 // - 1

x = -1

8*x*(x+1) = 0

4*x^2+4*x = 0

4*x*(x+1) = 0

x+1 = 0 // - 1

x = -1

4*x*(x+1) = 0

(4*x*(6*x^2-6)*(x+1))/(8*x*(x+1)*(3-3*x)) = 0

( 4*x )

4*x = 0 // : 4

x = 0

( 6*x^2-6 )

6*x^2 = 6 // : 6

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

( x+1 )

x+1 = 0 // - 1

x = -1

x in { 0}

x in { 1}

x in { -1}

x belongs to the empty set

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