5/a+3-3/a+4=21/(a+3)(a+4)

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Solution for 5/a+3-3/a+4=21/(a+3)(a+4) equation:


D( a )

a = 0

a+3 = 0

a = 0

a = 0

a+3 = 0

a+3 = 0

a+3 = 0 // - 3

a = -3

a in (-oo:-3) U (-3:0) U (0:+oo)

5/a-(3/a)+3+4 = (21/(a+3))*(a+4) // - (21/(a+3))*(a+4)

5/a-((21/(a+3))*(a+4))-(3/a)+3+4 = 0

5/a-21*(a+3)^-1*(a+4)-3*a^-1+3+4 = 0

(-21*(a+4))/(a+3)+5/a-3/a+3+4 = 0

(-21*a*(a+4))/(a*(a+3))+(5*(a+3))/(a*(a+3))+(-3*(a+3))/(a*(a+3))+(3*a*(a+3))/(a*(a+3))+(4*a*(a+3))/(a*(a+3)) = 0

5*(a+3)-21*a*(a+4)-3*(a+3)+3*a*(a+3)+4*a*(a+3) = 0

3*a^2-21*a^2+4*a^2-79*a-3*a+9*a+12*a-9+15 = 0

3*a^2-21*a^2+4*a^2-82*a+9*a+12*a+6 = 0

4*a^2-18*a^2-73*a+12*a+6 = 0

6-14*a^2-61*a = 0

6-14*a^2-61*a = 0

6-14*a^2-61*a = 0

DELTA = (-61)^2-(-14*4*6)

DELTA = 4057

DELTA > 0

a = (4057^(1/2)+61)/(-14*2) or a = (61-4057^(1/2))/(-14*2)

a = (4057^(1/2)+61)/(-28) or a = (61-4057^(1/2))/(-28)

(a-((4057^(1/2)+61)/(-28)))*(a-((61-4057^(1/2))/(-28))) = 0

((a-((4057^(1/2)+61)/(-28)))*(a-((61-4057^(1/2))/(-28))))/(a*(a+3)) = 0

((a-((4057^(1/2)+61)/(-28)))*(a-((61-4057^(1/2))/(-28))))/(a*(a+3)) = 0 // * a*(a+3)

(a-((4057^(1/2)+61)/(-28)))*(a-((61-4057^(1/2))/(-28))) = 0

( a-((4057^(1/2)+61)/(-28)) )

a-((4057^(1/2)+61)/(-28)) = 0 // + (4057^(1/2)+61)/(-28)

a = (4057^(1/2)+61)/(-28)

( a-((61-4057^(1/2))/(-28)) )

a-((61-4057^(1/2))/(-28)) = 0 // + (61-4057^(1/2))/(-28)

a = (61-4057^(1/2))/(-28)

a in { (4057^(1/2)+61)/(-28), (61-4057^(1/2))/(-28) }

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