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Solve quadratic equations by factoring

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Learn it Move everything to one side so the equation equals 0, factor, and set each factor equal to 0 (the zero product property).

Example: Solve 2x² + 5x − 3 = 0.

  1. Factor: (2x − 1)(x + 3) = 0.
  2. 2x − 1 = 0 → x = 1/2, or x + 3 = 0 → x = −3.
  3. Roots: 1/2 and −3.

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