Answer:
−5≤x≤−1
Step-by-step explanation:hope that helps :)))
x2+6x=−5
x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)
x2+6x+5=0
(x+1)(x+5)=0(Factor left side of the equation)
x+1=0 or x+5=0(Set factors equal to 0)
x=−1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−5(Doesn't work in original inequality)
−5≤x≤−1(Works in original inequality)
x≥−1(Doesn't work in original inequality)
Answer:
−5≤x≤−1