Đáp án:
a) x(x + 3) = 0
1) x = 0
2) x + 3 = 0 ⇔ x = -3
b) (x – 2)(5 – x) = 0
1) x - 1 = 0 ⇔ x = 1
2) 5 - x = 0 ⇔ x = 5
c) (x – 1)(x² + 1) = 0
1) x - 1 = 0 ⇔ x = 1
2) x² + 1 = 0 ⇔ x² = -1 (vô lý)
d) -12(x – 5) + 7(3 – x) = 5
⇔ -12x + 60 + 21 - 7x = 5
⇔ -12x - 7x = 5 - 60 - 21
⇔ -19x = -76
⇔ x = 4
e) 30(x + 2) – 6(x – 5) – 24x = 100
⇔ 30x + 60 - 6x + 35 - 24x = 100
⇔ 30x - 6x - 24x = 100 - 60 - 35
⇔ 0x = 5 (vô nghiệm)