Many ways to finding a solution of a quadratic equation.

Questions
,
1

Greetings everyone,

I am trying to find a step-by-step a solution to this fifth degree quadratic equation:
6x^5 + 15x^4 - 80*x^3 = -16.

Can anyone please help?

Thank you so much for reading this post.

2

Hi Roland,

It is a quintic equation, not quadratic, and in general there is no analytic or step-by-step solution. Using WL you can get a numerical solution:

eqn = 6 x^5 + 15 x^4 - 80 x^3 == -16;
Solve[eqn, x] // N

(* {{x -> -5.1121}, {x -> 0.615895}, {x -> 2.58957}, 
    {x -> -0.296682 - 0.488923 I}, {x -> -0.296682 + 0.488923 I}} *)