Bonjour,
a) 6x + 8 = 23
6x + 8 - 8 = 23 - 8
6x = 15
x = 15/6 = 5/2
b) 7x - 13 = 4x + 23
7x - 4x = 23 + 13
3x = 39
x = 39/3 = 13
c) 3(2x - 7) = 4(8 + 4)
6x - 21 = 32 + 16
6x - 21 = 48
6x = 48 + 21 = 69
x = 69/6 = 23/2
d) x² = 24,61
x = √24,61 = 4,9604846
e) (8x - 4)(3x + 7) = 0
⇒ 8x - 4 = 0
8x = 0 + 4 = 4
x = 4/8 = 1/2
⇒ 3x + 7 = 0
3x = 0 - 7 = -7
x = -7/3