Factorize (4x² - 12x + 9) by completing the square and find its minimum value and the x-value where the minimum value occurs.

4x² - 12x + 9 = (2x - 3)²

4x² - 12x + 9 >= 0

(2x - 3)² >= 0

minimum value = 0 

(2x - 3)² = 0

x = 3 / 2

Factorize (4x² - 20x + 25) by completing the square and find its minimum value and the x-value where the minimum value occurs.

4x² - 20x + 25 = (2x - 5)²

4x² - 20x + 25 >= 0

(2x - 5)² >= 0

minimum value = 0 

(2x - 5)² = 0

x = 5 / 2

Factorize (9x² - 30x + 25) by completing the square and find its minimum value and the x-value where the minimum value occurs.

9x² - 30x + 25 = (3x - 5)²

9x² - 30x + 25 >= 0

(3x - 5)² >= 0

minimum value = 0 

(3x - 5)² = 0

x = 5 / 3