Question 667406
ax^3+a
a(x^3+1)=0============solve for x
x^3+1=0===divide both sides by a constant to simplify the equation
(x+1)(x^2-x+1)=0===factor the left hand side
x+1=0  OR   x^2-x+1=0=====split into 2 equations
look at the first equation,solve for X,subtract 1 from both sides
x=1 OR  x^2-x+1=0
look at the second equation,solve the quadratic equation 
by completing the square,subtract 1 from both sides x=-1 OR x^2-x=-1
add 1/4 to both sides======x=-1   OR  x^2-x+1/4=-3/4
factor left side,write left hand side as a square=x=-1 OR (x-1/2)^2=-3/4
eliminate the exponent on left side,square root of both sides
x=-1  OR  x-1/2= i√3/2  OR  x-1/2=-1/2(i√3)
look at the second equation,solve for X,add 1/2 to both sides
x=-1 OR x=1/2+i√3/2  OR x-1/2=-1/2(i√3)
look at third equation,solve for X
add 1/2 to both sides
x=-1   OR  x=1/2+i√3/2  OR  x=1/2-i√3/2