Alg3.5.2

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Solve \sqrt{3x+7}=3x+5\,

\left(\sqrt{3x+7}\right)^2=(3x+5)^2\,

3x+7=9x^2+30x+25\,

9x^2+27x+18=0\,

9(x^2+3x+2)=0\,

9(x+1)(x+2)=0\,

x=-1\, and x=-2\,

Check all your answers and you'll see that only x=-1\, works.

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