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algebra · worked example

Solve 5x² - 20 = 0 — x = 2 or x = -2

Method: GCF + difference of squares. Verified step-by-step solution with our free AI math solver.
Problem

5x2−20=05x^2 - 20 = 0

Step-by-step solution

  1. Pull out the GCF 55: 5(x2−4)=05(x^2 - 4) = 0.

  2. Recognise difference of squares: x2−4=(x−2)(x+2)x^2 - 4 = (x-2)(x+2).

  3. Full factoring: 5(x−2)(x+2)=05(x - 2)(x + 2) = 0.

  4. Set the binomial factors to zero (the constant 5 cannot make the product zero): x=2x = 2 or x=−2x = -2.

Answer

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

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