How do I solve for x:

2 (x-5) ^2+13=31

2 (x - 5) ² + 13 = 31

2 (x - 5) (x - 5) + 13 = 21

2 (x (x - 5) - 5 (x - 5)) + 13 = 21

2 (x (x) - x (5) - 5 (x) + 5 (5)) + 13 = 21

2 (x² - 5x - 5x + 25) + 13 = 21

2 (x² - 10x + 25) + 13 = 21

2 (x²) - 2 (10x) + 2 (25) + 13 = 21

2x² - 20x + 50 + 13 = 21

2x² - 20x + 63 = 21

- 21 - 21

2x² - 20x + 42 = 0

2 (x²) - 2 (20x) + 2 (21) = 0

2 (x² - 20x + 21) = 0

2 2

x² - 20x + 21 = 0

x = - (-20) + / - √ ((-20) ² - 4 (1) (21))

2 (1)

x = 20 + / - √ (400 - 84)

2

x = 20 + / - √ (316)

2

x = 20 + / - 2√ (79)

2

x = 10 + √ (79)

x = 10 + √ (79) U x = 10 - √ (79)