4/3a-(7/a+6)=-15

Solution for 4/3a-(7/a+6)=-15 equation:

D( a )

a = 0

a = 0

a = 0

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

(4/3)*a-(7/a)-6 = -15 // + 15

(4/3)*a-(7/a)-6+15 = 0

(4/3)*a-7*a^-1-6+15 = 0

4/3*a^1-7*a^-1+9*a^0 = 0

(4/3*a^2+9*a^1-7*a^0)/(a^1) = 0 // * a^2

a^1*(4/3*a^2+9*a^1-7*a^0) = 0

a^1

(4/3)*a^2+9*a-7 = 0

(4/3)*a^2+9*a-7 = 0

DELTA = 9^2-(-7*4*(4/3))

DELTA = 355/3

DELTA > 0

a = ((355/3)^(1/2)-9)/(2*(4/3)) or a = (-(355/3)^(1/2)-9)/(2*(4/3))

a = 3/8*((355/3)^(1/2)-9) or a = -3/8*((355/3)^(1/2)+9)

a in { -3/8*((355/3)^(1/2)+9), 3/8*((355/3)^(1/2)-9)} 

a in { -3/8*((355/3)^(1/2)+9), 3/8*((355/3)^(1/2)-9) }