\(\Rightarrow\left(3x+4\right)^3=-125=\left(-5\right)^3\\ \Rightarrow3x+4=-5\\ \Rightarrow3x=-9\\ \Rightarrow x=-3\)
(3x+4)\(^3\)+125=0
⇒(3x+4)\(^3\)=-125
⇒(3x+4)\(^3\)=-(5\(^3\))
⇒3x+4=-5
⇒3x=-9
⇒x=-3
( 3x+4 )^3 +125=0
( 3x+4 )^3=0-125
( 3x+4)^3=-125
( 3x+4)^3=-5^3
3x+4 = -5
3x = -5 - 4
3x = -9
x = -9 : 3
x = -3