5/(3a+8)=-2/(a-1)

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Solution for 5/(3a+8)=-2/(a-1) equation: 


D( a )

a-1 = 0

3*a+8 = 0

a-1 = 0

a-1 = 0

a-1 = 0 // + 1

a = 1

3*a+8 = 0

3*a+8 = 0

3*a+8 = 0 // - 8

3*a = -8 // : 3

a = -8/3

a in (-oo:-8/3) U (-8/3:1) U (1:+oo)

5/(3*a+8) = -2/(a-1) // + -2/(a-1)

5/(3*a+8)-(-2/(a-1)) = 0

5/(3*a+8)+2*(a-1)^-1 = 0

5/(3*a+8)+2/(a-1) = 0

(5*(a-1))/((3*a+8)*(a-1))+(2*(3*a+8))/((3*a+8)*(a-1)) = 0

5*(a-1)+2*(3*a+8) = 0

11*a+11 = 0

(11*a+11)/((3*a+8)*(a-1)) = 0

(11*a+11)/((3*a+8)*(a-1)) = 0 // * (3*a+8)*(a-1)

11*a+11 = 0

11*a+11 = 0 // - 11

11*a = -11 // : 11

a = -11/11

a = -1

a = -1

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