Answer: x = 4 twice
Explanation:
The given quadratic equation is expressed as
2x^2 - 16x + 32 = 0
Dividing the left hand side and the right hand side of the equation by 2, it becomes
x^2 - 8x + 16 = 0
We would find two numbers such that their sum or difference is -8x and their product is 16x^2. The two numbers are - 4x and - 4x. They,
x^2 - 4x - 4x + 16 = 0
x(x - 4) - 4(x - 4) = 0
x - 4 = 0 or x- 4 = 0
x = 4 twice