(3/x+7)(4/x-6)

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Solution for (3/x+7)(4/x-6) equation: 


D( x )

x = 0

x = 0

x = 0

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

(3/x+7)*(4/x-6) = 0

(3*x^-1+7)*(4*x^-1-6) = 0

( 3*x^-1+7 )

3*x^-1 = -7 // : 3

x^-1 = -7/3

-1 < 0

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

1 = -7/3*x^1 // : -7/3

-3/7 = x^1

x = -3/7

( 4*x^-1-6 )

4*x^-1 = 6 // : 4

x^-1 = 3/2

-1 < 0

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

1 = 3/2*x^1 // : 3/2

2/3 = x^1

x = 2/3

x in { -3/7, 2/3 }

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