You can put this solution on YOUR website! What is (x+5)^3 + 8 = 0
Subtract 8 from both sides
(x+5)^3 = -8
Find the cube root of both sides
x + 5 = -2
x = -2 - 5
x = -7
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Check solution in original problem
(-7+5)^3 + 8 = 0
(-2)^3 + 8 = 0
-8 + 8 = 0; confirms our solution of x=-7