11. x squared - 7x = 0 12. 3x squared - 4x = 20x + 27

11. x² - 7x = 0

x (x) - x (7) = 0

x (x - 7) = 0

x = 0 or x - 7 = 0

+ 7 + 7

x = 7

Solution Set: {0, 7}

12. 3x² - 4x = 20x + 27

+ 4x + 4x

3x² = 24x + 27

3x² - 24x - 27 = 0

x = - (-24) ± √ ((-24) ² - 4 (3) (-27))

2 (3)

x = 24 ± √ (576 + 324)

6

x = 24 ± √ (900)

6

x = 24 ± 30

6

x = 4 ± 5

x = 4 + 5 or x = 4 - 5

x = 9 or x = - 1

Solution Set: {9, - 1}