To solve the equation \( (13x - 2)(x - 34) = 0 \), we can use something called the zero product property. This means if you multiply two things together and get zero, then at least one of those things must be zero.

Question

So, we set each part (or "factor") equal to zero:

1. \( 13x - 2 = 0 \)
2. \( x - 34 = 0 \)

Now, let’s solve each one!

**For the first part:**

\[ 13x - 2 = 0 \]

To get rid of the -2, we add 2 to both sides:

\[ 13x = 2 \]

Next, we need to get \( x \) by itself. Since \( x \) is being multiplied by 13, we divide by 13:

\[ x = \frac{2}{13} \]

**For the second part:**

\[ x - 34 = 0 \]

Here, we just add 34 to both sides to solve for \( x \):

\[ x = 34 \]

**So, the answers to the equation \( (13x - 2)(x - 34) = 0 \) are:**

\[
x = \frac{2}{13} \quad \text{and} \quad x = 34
\]
make this like a 6th grader wrote it

Answer 1

To solve the equation \( (13x - 2)(x - 34) = 0 \), we can use a cool rule called the zero product property. This means that if you multiply two things and get zero, then at least one of those things must be zero!

So, we can set each part (or "factor") equal to zero:

1. \( 13x - 2 = 0 \)
2. \( x - 34 = 0 \)

Now, let’s solve each one step by step!

For the first part:

\[ 13x - 2 = 0 \]

To get rid of the -2, we add 2 to both sides:

\[ 13x = 2 \]

Next, we want to find out what \( x \) is. Since \( x \) is being multiplied by 13, we need to divide by 13:

\[ x = \frac{2}{13} \]

For the second part:

\[ x - 34 = 0 \]

This one is pretty easy! We just add 34 to both sides to solve for \( x \):

\[ x = 34 \]

So, the answers to the equation \( (13x - 2)(x - 34) = 0 \) are:

\[ x = \frac{2}{13} \quad \text{and} \quad x = 34 \]

That's it! We found that \( x \) can be \( \frac{2}{13} \) or \( 34 \).