Sin(π+3x/4)-sin(3π/2-3x/4)=0
-sin(3x/4)-cos(3x/4)=0
sin(3x/4)+cos(3x/4)=0
sin(3x/4+π/4)=0
3x/4+π/4=πn, n∈Z
3x/4=πn-π/4, n∈Z
x=(4πn-π)/3, n∈Z
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Sin(π+3x/4)-sin(3π/2-3x/4)=0
-sin(3x/4)-cos(3x/4)=0
sin(3x/4)+cos(3x/4)=0
sin(3x/4+π/4)=0
3x/4+π/4=πn, n∈Z
3x/4=πn-π/4, n∈Z
x=(4πn-π)/3, n∈Z