the total number of distinct real solutions of the equation ( 2x + 3)^2-|2x+3|=0

2x+32-2x+3=0Use a2=a22x+32-2x+3=0Let t=2x+3t2-t=0tt-1=0Either t=0 or t-1=0t=0 or t=12x+3=0 or 2x+3=12x+3=0 or 2x+3=±1x=-32 or 2x+3=1 or 2x+3=-1x=-32 or 2x=-2 or 2x=-4x=-32 or x=-1 or x=-2

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