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Problem Analysis:

The problem asks us to determine the value of \( x \) given that the sum of all the roots of the equation

\[
x^2 + 3x + 5 = 0
\]

is equal to the product of all the roots of the equation

\[
x^2 - 4x + x = 0.
\]

Let's break this down step by step.

---

Step 1: Analyze the first equation

The first equation is:

\[
x^2 + 3x + 5 = 0.
\]

This is a quadratic equation of the form \( ax^2 + bx + c = 0 \), where:
- \( a = 1 \),
- \( b = 3 \),
- \( c = 5 \).

For a quadratic equation \( ax^2 + bx + c = 0 \), the sum of the roots is given by:

\[
\text{Sum of the roots} = -\frac{b}{a}.
\]

Substituting the values of \( a \) and \( b \):

\[
\text{Sum of the roots} = -\frac{3}{1} = -3.
\]

Thus, the sum of the roots of the first equation is:

\[
-3.
\]

---

Step 2: Analyze the second equation

The second equation is:

\[
x^2 - 4x + x = 0.
\]

Simplify the equation:

\[
x^2 - 3x = 0.
\]

Factor out \( x \):

\[
x(x - 3) = 0.
\]

This gives the roots:

\[
x = 0 \quad \text{and} \quad x = 3.
\]

For a quadratic equation \( ax^2 + bx + c = 0 \), the product of the roots is given by:

\[
\text{Product of the roots} = \frac{c}{a}.
\]

Here, the equation is \( x^2 - 3x = 0 \), which can be written as \( x^2 - 3x + 0 = 0 \). Thus:
- \( a = 1 \),
- \( b = -3 \),
- \( c = 0 \).

The product of the roots is:

\[
\text{Product of the roots} = \frac{c}{a} = \frac{0}{1} = 0.
\]

Thus, the product of the roots of the second equation is:

\[
0.
\]

---

Step 3: Relate the two equations

The problem states that the sum of the roots of the first equation is equal to the product of the roots of the second equation. From our calculations:
- The sum of the roots of the first equation is \( -3 \).
- The product of the roots of the second equation is \( 0 \).

However, there seems to be a contradiction because \( -3 \neq 0 \). This suggests that there might be a misunderstanding or an error in the problem statement. Let's re-examine the problem carefully.

Upon re-examining, it appears the task might involve solving for \( x \) in a different context or interpreting the problem differently. Since the direct interpretation leads to a contradiction, let's consider if there is another way to approach the problem.

---

Step 4: Reinterpret the problem

If the task involves solving for \( x \) in a different context, we need more information. However, based on the given equations and their properties, the only consistent interpretation is that the problem might be asking for a specific value of \( x \) that satisfies both conditions simultaneously. Given the contradiction, let's assume the problem intends for us to find a value of \( x \) that aligns with the structure of the equations.

Since the sum of the roots of the first equation is \( -3 \) and the product of the roots of the second equation is \( 0 \), the only logical conclusion is that the problem might be testing the understanding of quadratic equations and their properties.

---

Final Answer:

Given the contradiction and the structure of the problem, the most reasonable interpretation is that the problem is testing the understanding of quadratic equations. The value of \( x \) that aligns with the structure of the equations is not explicitly provided, but the properties of the equations are clear.

Thus, the final answer is:

\[
\boxed{-3}
\]