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algebra · worked example

Solve x² - 2x - 15 = (x - 5)(x + 3)

Method: integer factoring. Verified step-by-step solution with our free AI math solver.
Problem

x2−2x−15x^2 - 2x - 15

Step-by-step solution

  1. Find two numbers multiplying to −15-15 and adding to −2-2.

  2. Try (−5,3)(-5, 3): (−5)(3)=−15(-5)(3) = -15 ✓, −5+3=−2-5 + 3 = -2 ✓.

  3. Result: (x−5)(x+3)(x - 5)(x + 3).

Answer

(x−5)(x+3)(x - 5)(x + 3)

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