Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
STEP 1: Simplify each term.
[tex]x^2+10x+20=-5[/tex]
STEP 2: Move 5 to the left side of the equation by adding it to both sides.
[tex]x^2+10x+20+5=0[/tex]
STEP 3: Add 20 and 5.
[tex]x^2+10x+25=0[/tex]
STEP 4: Factor using the perfect square rule.
[tex](x+5)^2=0[/tex]
STEP 5: Set the x+5 equal to 0.
[tex]x+5=0[/tex]
STEP 6: Subtract 5 from both sides of the equation.
[tex]x=-5[/tex]
