((x^2-36)/(2x-2))/((x^2+12x+36)/(x^2+5x-6))

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Solution for ((x^2-36)/(2x-2))/((x^2+12x+36)/(x^2+5x-6)) equation:


D( x )

2*x-2 = 0

(x^2+12*x+36)/(x^2+5*x-6) = 0

x^2+5*x-6 = 0

2*x-2 = 0

2*x-2 = 0

2*x-2 = 0 // + 2

2*x = 2 // : 2

x = 2/2

x = 1

(x^2+12*x+36)/(x^2+5*x-6) = 0

(x^2+12*x+36)/(x^2+5*x-6) = 0

x^2+12*x+36 = 0

x^2+12*x+36 = 0

DELTA = 12^2-(1*4*36)

DELTA = 0

x = -12/(1*2)

x = -6 or x = -6

(x+6)^2 = 0

x^2+5*x-6 = 0

x^2+5*x-6 = 0

DELTA = 5^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)

x = 1 or x = -6

(x+6)*(x-1) = 0

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

x+6 = 0 // - 6

x = -6

x^2+5*x-6 = 0

x^2+5*x-6 = 0

x^2+5*x-6 = 0

DELTA = 5^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)

x = 1 or x = -6

x in (-oo:-6) U (-6:1) U (1:+oo)

((x^2-36)/(2*x-2))/((x^2+12*x+36)/(x^2+5*x-6)) = 0

((x^2-36)*(x^2+5*x-6))/((2*x-2)*(x^2+12*x+36)) = 0

x^2+12*x+36 = 0

x^2+12*x+36 = 0

DELTA = 12^2-(1*4*36)

DELTA = 0

x = -12/(1*2)

x = -6 or x = -6

(x+6)^2 = 0

x^2+5*x-6 = 0

x^2+5*x-6 = 0

DELTA = 5^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)

x = 1 or x = -6

(x+6)*(x-1) = 0

((x^2-36)*(x+6)*(x-1))/((2*x-2)*(x+6)^2) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-1 )

x-1 = 0 // + 1

x = 1

( x^2-36 )

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { -6}

x in { 1}

x in { -6}

x = 6

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