SOLUTION: Can please help me solve this step by step? Solve the following. sqrt(x+4)=x+4

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Question 795722: Can please help me solve this step by step?
Solve the following.
sqrt(x+4)=x+4

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following.
sqrt%28x%2B4%29=x%2B4
Square both sides
x+%2B+4+=+%28x%2B4%29%5E2
FOIL (x+4)(x+4)
x + 4 = x^2 + 8x + 16
Combine like terms on the right
0 = x^2 + 8x - x + 16 - 4
A quadratic equation
x^2 + 7x + 12 = 0
Factors to
(x+3)(x+4) = 0
Two solutions
x = -3
x = -4
:
You can check both these solutions in the original problem