(4a^2+4a+1/25-16a^2)(8a^2+4a/4a-5)

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Solution for (4a^2+4a+1/25-16a^2)(8a^2+4a/4a-5) equation: 


a in (-oo:+oo)

(4*a^2-(16*a^2)+4*a+1/25)*(8*a^2+((4*a)/4)*a-5) = 0

(4*a^2-16*a^2+4*a+1/25)*(8*a^2+((4*a)/4)*a-5) = 0

(4*a-12*a^2+1/25)*(9*a^2-5) = 0

4*a-12*a^2+1/25 = 0

4*a-12*a^2+1/25 = 0

DELTA = 4^2-(-12*1/25*4)

DELTA = 448/25

DELTA > 0

a = ((448/25)^(1/2)-4)/(-12*2) or a = (-(448/25)^(1/2)-4)/(-12*2)

a = ((448/25)^(1/2)-4)/(-24) or a = ((448/25)^(1/2)+4)/24

(a-(((448/25)^(1/2)-4)/(-24)))*(a-(((448/25)^(1/2)+4)/24)) = 0

(a-(((448/25)^(1/2)-4)/(-24)))*(a-(((448/25)^(1/2)+4)/24))*(9*a^2-5) = 0

( 9*a^2-5 )

9*a^2 = 5 // : 9

a^2 = 5/9

a^2 = 5/9 // ^ 1/2

abs(a) = (5/9)^(1/2)

a = (5/9)^(1/2) or a = -(5/9)^(1/2)

( a-(((448/25)^(1/2)+4)/24) )

a-(((448/25)^(1/2)+4)/24) = 0 // + ((448/25)^(1/2)+4)/24

a = ((448/25)^(1/2)+4)/24

( a-(((448/25)^(1/2)-4)/(-24)) )

a-(((448/25)^(1/2)-4)/(-24)) = 0 // + ((448/25)^(1/2)-4)/(-24)

a = ((448/25)^(1/2)-4)/(-24)

a in { (5/9)^(1/2), -(5/9)^(1/2), ((448/25)^(1/2)+4)/24, ((448/25)^(1/2)-4)/(-24) }

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