Factor.x, squared, minus, x, minus, 20x 2 −x−20

The expression you provided seems to be a bit unclear, but I'm assuming you're asking to factorize the quadratic equation x^2 - x - 20. Here are the steps:

1. Write down the quadratic equation: x^2 - x - 20 = 0

2. Identify the coefficients a, b, and c in the equation ax^2 + bx + c. In this case, a = 1, b = -1, and c = -20.

3. Factorize the equation. We're looking for two numbers that multiply to -20 (ac) and add to -1 (b). The numbers -5 and 4 fit these conditions because -5 * 4 = -20 and -5 + 4 = -1.

4. Rewrite the equation, replacing -x with -5x + 4x: x^2 - 5x + 4x - 20 = 0

5. Factor by grouping: x(x - 5) + 4(x - 5) = 0

6. Combine like terms: (x - 5)(x + 4) = 0

So, the factored form of the equation x^2 - x - 20 = 0 is (x - 5)(x + 4) = 0.