(7)/(2x+1)-(8x)/(2x-1)=-4

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Solution for (7)/(2x+1)-(8x)/(2x-1)=-4 equation:


D( x )

2*x+1 = 0

2*x-1 = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:-1/2) U (-1/2:1/2) U (1/2:+oo)

7/(2*x+1)-((8*x)/(2*x-1)) = -4 // + 4

7/(2*x+1)-((8*x)/(2*x-1))+4 = 0

7/(2*x+1)-8*x*(2*x-1)^-1+4 = 0

7/(2*x+1)+(-8*x)/(2*x-1)+4 = 0

(7*(2*x-1))/((2*x+1)*(2*x-1))+(-8*x*(2*x+1))/((2*x+1)*(2*x-1))+(4*(2*x+1)*(2*x-1))/((2*x+1)*(2*x-1)) = 0

7*(2*x-1)-8*x*(2*x+1)+4*(2*x+1)*(2*x-1) = 0

16*x^2-16*x^2+6*x-7-4 = 0

6*x-11 = 0

(6*x-11)/((2*x+1)*(2*x-1)) = 0

(6*x-11)/((2*x+1)*(2*x-1)) = 0 // * (2*x+1)*(2*x-1)

6*x-11 = 0

6*x-11 = 0 // + 11

6*x = 11 // : 6

x = 11/6

x = 11/6

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