3/a-5/6a=4

Solution for 3/a-5/6a=4 equation:

D( a )

a = 0

a = 0

a = 0

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

3/a-((5/6)*a) = 4 // - 4

3/a-((5/6)*a)-4 = 0

(-5/6)*a+3/a-4 = 0

3*a^-1-5/6*a^1-4*a^0 = 0

(3*a^0-5/6*a^2-4*a^1)/(a^1) = 0 // * a^2

a^1*(3*a^0-5/6*a^2-4*a^1) = 0

a^1

(-5/6)*a^2-4*a+3 = 0

(-5/6)*a^2-4*a+3 = 0

DELTA = (-4)^2-(3*4*(-5/6))

DELTA = 26

DELTA > 0

a = (26^(1/2)+4)/(2*(-5/6)) or a = (4-26^(1/2))/(2*(-5/6))

a = -3/5*(26^(1/2)+4) or a = -3/5*(4-26^(1/2))

a in { -3/5*(26^(1/2)+4), -3/5*(4-26^(1/2))} 

a in { -3/5*(26^(1/2)+4), -3/5*(4-26^(1/2)) }