2x2 – 21x – 36 = 0

To solve for x in the given equation:

1. First, we can try to factor the expression on the left side of the equation. To do this, we need to find two numbers that add up to -21 and multiply to -72 (-36 x 2).

2. After some trial and error, we can see that -24 and 3 satisfy these conditions.

3. Therefore, we can write the equation as:

(2x + 3)(x - 24) = 0

4. We can set each factor equal to 0 and solve for x:

2x + 3 = 0 or x - 24 = 0

2x = -3 x = 24

x = -3/2

5. Therefore, the solutions for x are: x = 24 and x = -3/2.