Question
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\( 33 ( \square ) = - 140 x ( \square ) \)

Ask by Campbell Gibson. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

\( x = -\frac{33}{140} \) or \( x \approx -0.2357 \)

Solution

It looks like you're working with the equation: \[ 33 (\square) = -140x (\square) \] Assuming that the \(\square\) represents the same non-zero variable or expression on both sides of the equation, we can solve for \(x\). Here's how: 1. **Start with the original equation:** \[ 33 (\square) = -140x (\square) \] 2. **Assume \(\square \neq 0\) and divide both sides by \(\square\):** \[ 33 = -140x \] 3. **Solve for \(x\):** \[ x = \frac{33}{-140} = -\frac{33}{140} \] 4. **Simplify the fraction (if possible):** \[ -\frac{33}{140} \] This fraction cannot be simplified further since 33 and 140 have no common divisors other than 1. 5. **Convert to decimal (optional):** \[ x \approx -0.2357 \] **Final Answer:** \[ x = -\frac{33}{140} \quad \text{or} \quad x \approx -0.2357 \]

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Extra Insights

To solve the equation \( 33 ( \square ) = - 140 x ( \square ) \), you can rearrange it to isolate the variable. Start by adding \( 140 x ( \square ) \) to both sides to get \( 33 ( \square ) + 140 x ( \square ) = 0 \). Factoring out \( ( \square ) \) gives you \( ( \square )(33 + 140x) = 0 \). This means either \( ( \square ) = 0 \) or \( 33 + 140x = 0 \). If \( 33 + 140x = 0 \), solving for \( x \) yields \( x = -\frac{33}{140} \). Fun fact: this equation embodies the balance in mathematics where both sides have to equal each other, just like finding equilibrium in a seesaw! In practical scenarios, equations like this can model everyday situations, such as calculating costs, physics problems, or even designing financial budgets. Remember, solving equations helps you think critically and enhances your problem-solving skills, which are super useful in real life!

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