SOLUTION: What is the solution to (x+7)^4-5(x+7)^2=-6

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Question 277211: What is the solution to (x+7)^4-5(x+7)^2=-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Let z=%28x%2B7%29%5E2. So z%5E2=%28%28x%2B7%29%5E2%29%5E2=%28x%2B7%29%5E4 meaning that %28x%2B7%29%5E4-5%28x%2B7%29%5E2=-6 is equivalent to z%5E2-5z=-6. Solve this equation for 'z' and use the solution(s) of 'z' to find the solution(s) of 'x'.