The given equation is expressed as
2x^2 - 10x + 12 = 0
Dividing each term by 2, it becomes
x^2 - 5x + 6 = 0
This is a quadratic equation. We would solve by applying the method of factorization. The first step is to multiply x^2 with 6. It becomes 6x^2. We would find two terms such that their sum or difference is - 5x and their product is 6x^2. The terms are - 3x and - 2x. By replacing - 5x with - 2x - 3x, we have
x^2 - 2x - 3x + 6 = 0
Factorize by grouping. It becomes
x(x - 2) - 3(x - 2) = 0
(x - 2)(x - 3) = 0
x - 2 = 0 or x - 3 = 0
x = 2 or x = 3
The solutions are
A. 2
B. 3
