( x + 1 )5 = - 32
( x + 1 )5 = - 25
=> x + 1 = - 2
=> x = -3
Study well
\(\left(x+1\right)^5=-2^5\)
\(\Rightarrow x+1=-2\)
\(\Rightarrow x=-2-1\)
\(\Rightarrow x=-3\)
\(\left(x+1\right)^5=-32\)
\(\Leftrightarrow\left(x+1\right)^5=\left(-2\right)^5\)
\(\Leftrightarrow x+1=-2\)
\(\Leftrightarrow x=-2-1=-3\)