Two coherent waves, coming from sources at different locations, move along the x

Question

Two coherent waves, coming from sources at different locations, move along the x axis. Their wave functions are
E1 = 860 sin( (2px1)/ 640 - 904pt + p/ 4)

and
E2 = 860 sin( (2px2/640) - 904pt + p/10 )

where E1 and E2 are in volts per meter, x1 and x2 are in nanometers, and t is in picoseconds. When the two waves are superposed, determine the relationship between x1 and x2 that produces constructive interference. (Use the following as necessary: m and t.) For m= +,- 1,2....., find x1 - x2 =
pls help even of can only get me started wil still award full points!
already have two answers but neither give a relation for m + t, must be able to convert to both

Explanation / Answer

2px1/640 = 2px2/640 + k * pi where k is an integer for construction interference k is even ie put k=2n for destructive interference k is odd ie put k = 2n+1

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