text: # Intermediate Algebra
  
  posted by on .
  
  Solve:
  
  2x^-2 - 5x^-1 - 3 = 0
  
  2a^2 -5a - 3 = 0
  
  (2a^2 - ) + ( a - ) = 0
  
  • Intermediate Algebra - ,
  
  is 2a^2 -5a - 3 = 0
  supposed to be the simplified version of
  2x^-2 - 5x^-1 - 3 = 0 ??
  
  2/x^2 - 5/x - 3 = 0
  multiply each term by x^2
  2 - 5x - 3x^2 = 0
  3x^2 + 5x - 2 = 0
  (3x-1)(x+2) = 0
  x = 1/3 or x = -2
  
  • Intermediate Algebra - ,
  
  yes that is the sinplified version of
explanation: The document contains a math question and its solution. The question is about solving the equation \(2x^{-2} - 5x^{-1} - 3 = 0\), and the solution is provided, showing the steps to solve it.
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distilabel_metadata.role: system
distilabel_metadata.content: # Intermediate Algebra
  
  posted by on .
  
  Solve:
  
  2x^-2 - 5x^-1 - 3 = 0
  
  2a^2 -5a - 3 = 0
  
  (2a^2 - ) + ( a - ) = 0
  
  • Intermediate Algebra - ,
  
  is 2a^2 -5a - 3 = 0
  supposed to be the simplified version of
  2x^-2 - 5x^-1 - 3 = 0 ??
  
  2/x^2 - 5/x - 3 = 0
  multiply each term by x^2
  2 - 5x - 3x^2 = 0
  3x^2 + 5x - 2 = 0
  (3x-1)(x+2) = 0
  x = 1/3 or x = -2
  
  • Intermediate Algebra - ,
  
  yes that is the sinplified version of
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its solution. The question is about solving the equation \(2x^{-2} - 5x^{-1} - 3 = 0\), and the solution is provided, showing the steps to solve it.
  
  Label: question-and-answer