## 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 = $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
The text passage contains a detailed solution to a quadratic equation, showing the steps of factoring and solving for the variable \( x \). The solution set is provided at the end.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## 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 = $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
user
The text passage contains a detailed solution to a quadratic equation, showing the steps of factoring and solving for the variable \( x \). The solution set is provided at the end.

TYPE: SINGLE_QUESTION_WITH_ANSWER