What are the solutions of the quadratic equation? 2 x 2 - 16 x + 32 = 0

Answer: x = 4 twice

Step-by-step 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

4 - 16 x + 32 = 0

- 16 x = - 4 - 32

- 16 x = - 36

X = 2.25