To solve this equation, we can first simplify the expression on the left side of the equation:
(x^2 + x + 1)^(x-3) = 1[(x^2 + x + 1)]^(x-3) = 1(x^2 + x + 1) = 1
Now, we can solve for x by setting the expression equal to 1:
x^2 + x + 1 = 1x^2 + x = 0x(x+1) = 0
This equation can be satisfied if either x = 0 or x = -1. Therefore, the solutions to the original equation are x = 0 or x = -1.
To solve this equation, we can first simplify the expression on the left side of the equation:
(x^2 + x + 1)^(x-3) = 1
[(x^2 + x + 1)]^(x-3) = 1
(x^2 + x + 1) = 1
Now, we can solve for x by setting the expression equal to 1:
x^2 + x + 1 = 1
x^2 + x = 0
x(x+1) = 0
This equation can be satisfied if either x = 0 or x = -1. Therefore, the solutions to the original equation are x = 0 or x = -1.