Question

Factor Completely: 8x^3-27=0

Answer 1

\[\large
8x^3 - 27 = (2x)^3 - (3)^3 \\ \large
\text{Use: }a^3 - b^3 = (a-b)(a^2+ab+b^2)
\]

Answer 2

Are you sure the "= 0" part is in the problem?
Normally they ask you to factor completely an expression.
With an equation they ask you to solve for x.

Answer 3

Yes the Zero is in the problem