Answer:
x = 54/31
Step-by-step explanation:
Solve for x:
8 x + 27 (2 x - 4) = 0
27 (2 x - 4) = 54 x - 108:
54 x - 108 + 8 x = 0
Grouping like terms, 54 x + 8 x - 108 = (8 x + 54 x) - 108:
(8 x + 54 x) - 108 = 0
8 x + 54 x = 62 x:
62 x - 108 = 0
Add 108 to both sides:
62 x + (108 - 108) = 108
108 - 108 = 0:
62 x = 108
Divide both sides of 62 x = 108 by 62:
(62 x)/62 = 108/62
62/62 = 1:
x = 108/62
The gcd of 108 and 62 is 2, so 108/62 = (2×54)/(2×31) = 2/2×54/31 = 54/31:
Answer: x = 54/31
