1. 8x² + 9x = 0 → x(8x + 9) = 0 → x = 0 or x = -9/8
2. 2x² - 5x - 3 = 0 → (2x + 1)(x - 3) = 0 → x = -1/2 or x = 3
3. 2(x + 4)² = 0 → x + 4 = 0 → x = -4
4. x² - 5x + 6 = 0 → (x - 2)(x - 3) = 0 → x = 2 or x = 3
5. 2x² - 7x + 3 = 0 → (2x - 1)(x - 3) = 0 → x = 1/2 or x = 3
6. 6x² - 7x + 2 = 0 → (2x - 1)(3x - 2) = 0 → x = 1/2 or x = 2/3
7. 2x² + 5x - 3 = 0 → (2x - 1)(x + 3) = 0 → x = 1/2 or x = -3
8. 5x² - 7x + 2 = 0 → (5x - 2)(x - 1) = 0 → x = 2/5 or x = 1
9. 6x² - 11x + 4 = 0 → (2x - 1)(3x - 4) = 0 → x = 1/2 or x = 4/3
10. 3x² - 7x + 2 = 0 → (3x - 1)(x - 2) = 0 → x = 1/3 or x = 2
11. 2x² - 5x + 2 = 0 → (2x - 1)(x - 2) = 0 → x = 1/2 or x = 2
12. 4x² + 7x + 3 = 0 → (4x + 3)(x + 1) = 0 → x = -3/4 or x = -1
Parent Tip: Review the logic above to help your child master the concept of balancing equations and reaction types worksheet answers.