Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -\frac{1}{3} \)
Solution
To solve the equation:
\[
2 (\square) = -6x (\square)
\]
Let's assume that \(\square\) represents a non-zero variable (let's denote it as \(A\)). The equation becomes:
\[
2A = -6xA
\]
Since \(A \neq 0\), we can divide both sides of the equation by \(A\):
\[
2 = -6x
\]
Now, solve for \(x\):
\[
x = \frac{2}{-6} = -\frac{1}{3}
\]
**Solution:**
\[
x = -\frac{1}{3}
\]
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Simplify this solution Extra Insights
To solve the equation \( 2 ( \square ) = - 6 x ( \square ) \), you can start by isolating the unknowns represented by the squares. Dividing both sides by \(( \square )\), assuming it's not zero, gives you \( 2 = -6x \). From here, simply solve for \( x \) by dividing both sides by -6, resulting in \( x = -\frac{1}{3} \). Voila! You've found the value of \( x \). Now, imagine you’re in a math competition—keep your eye on the clock! When tackling such equations, always check to see if there's a common factor you can simplify first. This can save valuable time and help avoid common mistakes like overlooking the condition that the square can't be zero.
