(a^2+4a)/(2a)*(3a^2)/(a^2-5a)

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Solution for (a^2+4a)/(2a)*(3a^2)/(a^2-5a) equation:


D( a )

2*a = 0

a^2-(5*a) = 0

2*a = 0

2*a = 0

2*a = 0 // : 2

a = 0

a^2-(5*a) = 0

a^2-(5*a) = 0

a^2-5*a = 0

a^2-5*a = 0

DELTA = (-5)^2-(0*1*4)

DELTA = 25

DELTA > 0

a = (25^(1/2)+5)/(1*2) or a = (5-25^(1/2))/(1*2)

a = 5 or a = 0

a in (-oo:0) U (0:5) U (5:+oo)

(3*a^2*((a^2+4*a)/(2*a)))/(a^2-(5*a)) = 0

(3*a^2*((a^2+4*a)/(2*a)))/(a^2-5*a) = 0

(3*a^2*(a^2+4*a))/(2*a*(a^2-5*a)) = 0

a^2+4*a = 0

a*(a+4) = 0

a+4 = 0 // - 4

a = -4

a*(a+4) = 0

a^2-5*a = 0

a*(a-5) = 0

a-5 = 0 // + 5

a = 5

a*(a-5) = 0

(3*a*a^2*(a+4))/(2*a*a*(a-5)) = 0

( 3*a^2 )

3*a^2 = 0 // : 3

a^2 = 0

a = 0

( a+4 )

a+4 = 0 // - 4

a = -4

( a )

a = 0

a in { 0}

a = -4

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