Verified answer

First, set them equal to each other since f(x)=g(x)

------ x^2 + 2x + 1 = 3x + 3

Then, we can set the equation equal to zero so we can factor. To do this, we subtract 3x and 3 from both sides, which I have put into parenthesis.

----- x^2 + 2x (-3x) + 1 (-3) = 0

which results in

----- x^2 - 1x - 2 = 0

Now, we can factor it.

----- (x-2)(x+1) = 0

Next, we set both expressions equal to zero.

----- x - 2 = 0 or x + 1 = 0

Finally, we solve both equations to get the values of x

----- x - 2 (+2) = 0 (+2) or x + 1 (-1) = 0 (-1)

----- x = 2 or x = -1

FINAL ANSWER: x = 2, -1

Hope this helps! Good luck!