SOLUTION: I need help! For this particular question it asks: Solve by whatever method seems easiest to you. Leave answers in simplest radical form. The problem is x^2+8x=-16 I tried solving

Question 131482This question is from textbook structure and method
: I need help! For this particular question it asks: Solve by whatever method seems easiest to you. Leave answers in simplest radical form. The problem is x^2+8x=-16
I tried solving this problem, by solving it two diffrent ways, so I got two answers:
31
- -
1616
Please help Thank You=) This question is from textbook structure and method

Answer by benni1013(206) (Show Source): You can put this solution on YOUR website!
x^2+8x=-16. First add 16 to each side.
x^2+8x+16=0
Find factors of 16 that equal 8
x^2+4x+4x+16
Factor using grouping
x(x+4)+4(x+4)
Check if they have the same binomial in the parentheses. Yes they do.
(x+4)^2=0
Square root both sides
x+4=0
The answer is x=-4
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