((2x-1)/(2x+7))+((x)/(6x+21))

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Solution for ((2x-1)/(2x+7))+((x)/(6x+21)) equation: 


D( x )

6*x+21 = 0

2*x+7 = 0

6*x+21 = 0

6*x+21 = 0

6*x+21 = 0 // - 21

6*x = -21 // : 6

x = -21/6

x = -7/2

2*x+7 = 0

2*x+7 = 0

2*x+7 = 0 // - 7

2*x = -7 // : 2

x = -7/2

x in (-oo:-7/2) U (-7/2:+oo)

(2*x-1)/(2*x+7)+x/(6*x+21) = 0

((2*x-1)*(6*x+21))/((2*x+7)*(6*x+21))+(x*(2*x+7))/((2*x+7)*(6*x+21)) = 0

(2*x-1)*(6*x+21)+x*(2*x+7) = 0

14*x^2+43*x-21 = 0

14*x^2+43*x-21 = 0

14*x^2+43*x-21 = 0

DELTA = 43^2-(-21*4*14)

DELTA = 3025

DELTA > 0

x = (3025^(1/2)-43)/(2*14) or x = (-3025^(1/2)-43)/(2*14)

x = 3/7 or x = -7/2

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

((x+7/2)*(x-3/7))/((2*x+7)*(6*x+21)) = 0

((x+7/2)*(x-3/7))/((2*x+7)*(6*x+21)) = 0 // * (2*x+7)*(6*x+21)

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

( x+7/2 )

x+7/2 = 0 // - 7/2

x = -7/2

( x-3/7 )

x-3/7 = 0 // + 3/7

x = 3/7

x in { -7/2} 

x = 3/7

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