1. The equation is in the form of \( ax^2 + bx + c = 0 \), where \( a = 1 \), \( b = 11 \), and \( c = 24 \).
2. To factorize, we need to find two numbers that multiply to \( ac = 24 \) and add to \( b = 11 \).
3. The numbers are \( 3 \) and \( 8 \) because \( 3 \times 8 = 24 \) and \( 3 + 8 = 11 \).
4. Factorize the quadratic equation:
(x + 3)(x + 8) = 0
5. Solve for \( x \):
x + 3 = 0 \quad \Rightarrow \quad x = -3
x + 8 = 0 \quad \Rightarrow \quad x = -8
*Therefore, the solution is:*
x = -3, -8