text: ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
  
  $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
  ...subtract 15 $24x^{2}-2x-15=0$ ... factoring, we seek factors of $ac=-360$ whose sum is $b=-2$ ... we find +18 and -20 $24x^{2}-20x+18x-15=0$ $4x(6x-5)+3(6x-5)=0$ $(6x-5)(4x+3)=0$ $6x-5=0\displaystyle \quad\Rightarrow\quad x=\frac{5}{6}$ $4x+3=0\displaystyle \quad\Rightarrow\quad x=-\frac{3}{4}$ Solution set = $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
explanation: The text extract appears to be a solution to a quadratic equation problem from an algebra textbook. It shows the steps to solve the equation \(24x^2 - 2x - 15 = 0\) by factoring, leading to the solution set \(\left\{-\frac{3}{4}, \frac{5}{6}\right\}\). The extract does not contain a question but rather a detailed solution to a problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
  
  $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
  ...subtract 15 $24x^{2}-2x-15=0$ ... factoring, we seek factors of $ac=-360$ whose sum is $b=-2$ ... we find +18 and -20 $24x^{2}-20x+18x-15=0$ $4x(6x-5)+3(6x-5)=0$ $(6x-5)(4x+3)=0$ $6x-5=0\displaystyle \quad\Rightarrow\quad x=\frac{5}{6}$ $4x+3=0\displaystyle \quad\Rightarrow\quad x=-\frac{3}{4}$ Solution set = $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract appears to be a solution to a quadratic equation problem from an algebra textbook. It shows the steps to solve the equation \(24x^2 - 2x - 15 = 0\) by factoring, leading to the solution set \(\left\{-\frac{3}{4}, \frac{5}{6}\right\}\). The extract does not contain a question but rather a detailed solution to a problem.
  
  Label: no-question