(16-2a)/(4a)+(3a+21)/(5a)=(10)/(9-a)

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Solution for (16-2a)/(4a)+(3a+21)/(5a)=(10)/(9-a) equation: 


D( a )

5*a = 0

9-a = 0

4*a = 0

5*a = 0

5*a = 0

5*a = 0 // : 5

a = 0

9-a = 0

9-a = 0

9-a = 0 // - 9

-a = -9 // * -1

a = 9

4*a = 0

4*a = 0

4*a = 0 // : 4

a = 0

a in (-oo:0) U (0:9) U (9:+oo)

(16-(2*a))/(4*a)+(3*a+21)/(5*a) = 10/(9-a) // - 10/(9-a)

(16-(2*a))/(4*a)+(3*a+21)/(5*a)-(10/(9-a)) = 0

(16-2*a)/(4*a)+(3*a+21)/(5*a)-10*(9-a)^-1 = 0

(16-2*a)/(4*a)+(3*a+21)/(5*a)-10/(9-a) = 0

(5*a*(16-2*a)*(9-a))/(4*5*a*a*(9-a))+(4*a*(3*a+21)*(9-a))/(4*5*a*a*(9-a))+(-10*4*5*a*a)/(4*5*a*a*(9-a)) = 0

5*a*(16-2*a)*(9-a)+4*a*(3*a+21)*(9-a)-10*4*5*a*a = 0

1476*a-2*a^3-146*a^2-200*a^2 = 0

1476*a-2*a^3-346*a^2 = 0

1476*a-2*a^3-346*a^2 = 0

2*a*(738-a^2-173*a) = 0

738-a^2-173*a = 0

DELTA = (-173)^2-(-1*4*738)

DELTA = 32881

DELTA > 0

a = (32881^(1/2)+173)/(-1*2) or a = (173-32881^(1/2))/(-1*2)

a = (32881^(1/2)+173)/(-2) or a = (173-32881^(1/2))/(-2)

2*a*(a-((32881^(1/2)+173)/(-2)))*(a-((173-32881^(1/2))/(-2))) = 0

(2*a*(a-((32881^(1/2)+173)/(-2)))*(a-((173-32881^(1/2))/(-2))))/(4*5*a*a*(9-a)) = 0

(2*a*(a-((32881^(1/2)+173)/(-2)))*(a-((173-32881^(1/2))/(-2))))/(4*5*a*a*(9-a)) = 0 // * 4*5*a*a*(9-a)

2*a*(a-((32881^(1/2)+173)/(-2)))*(a-((173-32881^(1/2))/(-2))) = 0

( 2*a )

2*a = 0 // : 2

a = 0

( a-((173-32881^(1/2))/(-2)) )

a-((173-32881^(1/2))/(-2)) = 0 // + (173-32881^(1/2))/(-2)

a = (173-32881^(1/2))/(-2)

( a-((32881^(1/2)+173)/(-2)) )

a-((32881^(1/2)+173)/(-2)) = 0 // + (32881^(1/2)+173)/(-2)

a = (32881^(1/2)+173)/(-2)

a in { 0} 

a in { (173-32881^(1/2))/(-2), (32881^(1/2)+173)/(-2) }

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