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Steg för steg

1. 2 x^{2} - 3 x - 2 = 0

   Start from the equation as given.

2. a = 2,\quad b = -3,\quad c = -2

   Read off the coefficients of the standard form ax² + bx + c = 0.

3. \left(x - 2\right) \left(2 x + 1\right) = 0

   Factor the quadratic into two linear factors.

4. 2 x + 1 = 0 \;\Rightarrow\; x = - \frac{1}{2}

   A product is zero only when one of its factors is zero (zero-product property).

5. x - 2 = 0 \;\Rightarrow\; x = 2

   A product is zero only when one of its factors is zero (zero-product property).

Avslöja svaret

x = - \frac{1}{2} \quad\text{or}\quad x = 2