x(x+1)^2(x+2)=72
You asked:
Solve the equation \({x\left( x + 1 \right)}^{2} \cdot \left(x + 2\right) = 72\) for the variable \(x\).
MathBot Answer:
The 5 solutions to the equation are: \[\begin{aligned}x &\approx 1.664002\\x &= -2.80079307306673 - 1.30193804890296 i \approx -2.8007931 -1.301938 i\\x &= -2.80079307306673 + 1.30193804890296 i \approx -2.8007931 + 1.301938 i\\x &= -0.0312079338646295 - 2.12951272387911 i \approx -0.031207934 -2.1295127 i\\x &= -0.0312079338646295 + 2.12951272387911 i \approx -0.031207934 + 2.1295127 i\end{aligned}\]
Solutions were approximated using numerical methods.