If (5x + 1)3 + (x - 3)3 + 8(3x - 4)3 = 6(5x + 1)(x - 3)(3x - 4), then x is equal to:
A. $$\frac{5}{6}$$
B. $$\frac{1}{3}$$
C. $$\frac{2}{3}$$
D. $$\frac{3}{4}$$
Answer: Option A
Solution (By Examveda Team)
a3 + b3 + c3 = 3abcIf a + b + c = 0
(5x + 1) + (x - 3) + (6x - 8) = 0
12x - 10 = 0
12x = 10
x = $$\frac{5}{6}$$
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