To solve the equation sin(x + π/4) = 0, we need to find the values of x that make the sine of (x + π/4) equal to zero.

The sine function is zero at certain angles, specifically at multiples of π. So, we can set up the equation:

x + π/4 = nπ

where n is an integer.

To solve for x, we can subtract π/4 from both sides:

x = nπ - π/4

So, the general solution for x is:

x = nπ - π/4

where n is an integer.