The equation \( 8x^2 = 0 \) can be simplified by dividing both sides by 8, giving us:
\[ x^2 = 0 \]
To solve for \( x \), we take the square root of both sides:
\[ x = 0 \]
Thus, the equation \( 8x^2 = 0 \) has one solution, which is \( x = 0 \).