Answer:
(x+5)^2 = 1
Step-by-step explanation:
x^2+10x+24 = 0
Subtract 24 from each side
x^2+10x+24 -24 = 0-24
x^2+10x = -24
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 = 25
Add it to each side
x^2+10x+25 = -24+25
Take the coefficient divided by 2 inside the factor
(x+10/2) ^2 = -24+25
(x+5)^2 = 1