algebra · worked example

Solve 5x² - 20 = 0 — x = 2 or x = -2

Method: FPB + selisih kuadrat. Verified step-by-step solution with our free AI math solver.
Problem

5x220=05x^2 - 20 = 0

Step-by-step solution

  1. Keluarkan FPB 55: 5(x24)=05(x^2 - 4) = 0.

  2. Kenali selisih kuadrat: x24=(x2)(x+2)x^2 - 4 = (x-2)(x+2).

  3. Pemfaktoran lengkap: 5(x2)(x+2)=05(x - 2)(x + 2) = 0.

  4. Buat faktor-faktor binomial sama dengan nol (konstanta 5 tidak bisa membuat hasil kalinya nol): x=2x = 2 atau x=2x = -2.

Answer

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

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