Find the real solutions by factoring. 3x^3+16=x^2+48x
3x^3 - x^2 - 48x + 16 = 0
inspection reveals some grouping
(3x^3 - 48x) - (x^2 - 16) = 0
3x(x^2 - 16) - (x^2 - 16) = 0
(3x-1)(x^2-16) = 0
(3x-1)(x-4)(x+4) = 0
and so forth.
inspection reveals some grouping
(3x^3 - 48x) - (x^2 - 16) = 0
3x(x^2 - 16) - (x^2 - 16) = 0
(3x-1)(x^2-16) = 0
(3x-1)(x-4)(x+4) = 0
and so forth.