To solve the rational equation \( \frac{3x + x - 3x}{1} = x^2 \), we first simplify the left-hand side:
\[ 3x + x - 3x = x \]
So the equation becomes:
\[ x = x^2 \]
Now, we can rearrange it to set it to zero:
\[ x^2 - x = 0 \]
We can factor this equation:
\[ x(x - 1) = 0 \]
Setting each factor to zero gives:
- \( x = 0 \)
- \( x - 1 = 0 \) which leads to \( x = 1 \)
Thus, the solutions are:
\[ x = 0 \quad \text{and} \quad x = 1 \]
The possible responses include \( x = 1 \), \( x = 0 \), \( x = \pm 1 \), and \( x = 3 \). The correct solutions are:
\[ \boxed{x = 0} \quad \text{and} \quad \boxed{x = 1} \]