x^3+3x=47 subtract 47 from both sides
x^3 + 3x - 47 = 0 this will not factor
Here are the solutions provided by WolframAlpha : https://www.wolframalpha.com/input/?i=x%5E3+%2B+3x+-+47+%C2%A0%3D+0
x ≈ 3.3323
x ≈ -1.6662 + 3.3657 i
x ≈ -1.6662 - 3.3657 i