4a/8-2a*(a^2-8a+16)

Solution for 4a/8-2a*(a^2-8a+16) equation:

a in (-oo:+oo)

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

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

a/2-2*a*(a^2-8*a+16) = 0

(-2*2*a*(a^2-8*a+16))/2+a/2 = 0

a-2*2*a*(a^2-8*a+16) = 0

32*a^2-4*a^3-63*a = 0

32*a^2-4*a^3-63*a = 0

a*(32*a-4*a^2-63) = 0

32*a-4*a^2-63 = 0

DELTA = 32^2-(-63*(-4)*4)

DELTA = 16

DELTA > 0

a = (16^(1/2)-32)/(-4*2) or a = (-16^(1/2)-32)/(-4*2)

a = 7/2 or a = 9/2

a*(a-7/2)*(a-9/2) = 0

(a*(a-7/2)*(a-9/2))/2 = 0

(a*(a-7/2)*(a-9/2))/2 = 0 // * 2

a*(a-7/2)*(a-9/2) = 0

( a-7/2 )

a-7/2 = 0 // + 7/2

a = 7/2

( a-9/2 )

a-9/2 = 0 // + 9/2

a = 9/2

( a )

a = 0

a in { 7/2, 9/2, 0 }