Answer:
The correct solution is "x = -5 and x = -8".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2+13x+40=0[/tex]
On factorizing the above equation, we get
⇒ [tex]x^2+5x+8x+40=0[/tex]
On taking "x" common, we get
⇒ [tex]x(x+5)+8(x+5)=0[/tex]
⇒ [tex](x+5)(x+8)=0[/tex]
Now,
⇒ [tex]x+5=0[/tex]
On subtracting "5" from both sides, we get
⇒ [tex]x+5-5=0-5[/tex]
⇒ [tex]x=-5[/tex]
Or,
⇒ [tex]x+8=0[/tex]
On subtracting "8" from both sides, we get
⇒ [tex]x+8-8=0-8[/tex]
⇒ [tex]x=-8[/tex]
