Question 440166
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Hi
If I am understanding Your Question properly:
  {{{sqrt(3x+4) + 3/2 = 3 }}}
  {{{sqrt(3x+4) = 3/2 }}}   | 3 - 3/2 = 3/2
          3x+ 4 = 9/4
          3x = 9/4 - 16/4
          3x = -7/4
           x = -7/12
CHECKING our Answer***
  {{{sqrt(-7/4 +4) = 3/2}}}
  {{{sqrt(9/4) = 3/2}}}