algebra · worked example

Solve x² + 6x + 5 = 0

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

x2+6x+5=0x^2 + 6x + 5 = 0

Step-by-step solution

  1. Two numbers multiplying to 55 and adding to 66: (1,5)(1, 5).

  2. Factor: (x+1)(x+5)=0(x + 1)(x + 5) = 0.

  3. Solve: x=−1x = -1 or x=−5x = -5.

Answer

x=−1orx=−5x = -1 \quad \text{or} \quad x = -5

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