algebra · worked example

Solve x² + 7x + 10 = 0

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

x2+7x+10=0x^2 + 7x + 10 = 0

Step-by-step solution

  1. Find two numbers multiplying to 1010 and adding to 77.

  2. Pair (2,5)(2, 5): 2⋅5=102 \cdot 5 = 10 ✓, 2+5=72 + 5 = 7 ✓.

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

  4. Solve: x=−2x = -2 or x=−5x = -5.

Answer

x=−2orx=−5x = -2 \quad \text{or} \quad x = -5

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