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Which equation doesn't have a solution?

Source: 2011 AMC a Problem 7

June 25, 2011
absolute valueAMC

Problem Statement

Which of the following equations does NOT have a solution?
<spanclass=′latex−bold′>(A)</span> (x+7)2=0<span class='latex-bold'> (A) </span>\:(x+7)^2=0 <spanclass=′latex−bold′>(B)</span> ∣−3x∣+5=0<span class='latex-bold'>(B) </span>\:|-3x|+5=0 <spanclass=′latex−bold′>(C)</span> −x−2=0<span class='latex-bold'> (C) </span>\:\sqrt{-x}-2=0 <spanclass=′latex−bold′>(D)</span> x−8=0<span class='latex-bold'> (D) </span>\:\sqrt{x}-8=0 <spanclass=′latex−bold′>(E)</span> ∣−3x∣−4=0<span class='latex-bold'> (E) </span>\:|-3x|-4=0
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