( ∛3x+5 ) + 4 = 0
third root ( 3 x ) + 5 + 4 = 0
third root ( 3 x ) + 9 = 0
third root ( 3 x ) = - 9
93 x = - 9 ^ 3
3 x = - 729 Divide both sides by 3
x = - 729 / 3
x = - 243
If your expression mean :
third root ( 3 x + 5 ) + 4 = 0
then
third root ( 3 x + 5 ) = - 4
3 x + 5 = - 4 ^ 3
3 x + 5 = - 64
3 x = - 64 - 5
3 x = - 69 Divide both sides by 3
x = - 69 / 3
x = - 23