Answer:
Step-by-step explanation:
Begin by moving the constant over and isolating the x terms:
[tex]x^2+2x=24[/tex]
Now take half the linear term (2), divide it in half and then square it. Add that squared number to both sides. 2/2 = 1, and 1 squared is 1:
[tex]x^2+2x+1=24+1[/tex]
The right side is 25, easy enough. The left side forms a perfect square binomial:
[tex](x+1)^2=25[/tex]
Now square root both sides to get:
x + 1 = ±5
x = -1 + 5 and x = -1 - 5
so x = 4 and -6.