Question 930705
{{{ sqrt( 3x + 7 ) + sqrt( x + 6 ) = 3 }}}

I moved the sqrt of 3x +7 to the other side and squared both sides and got as far as x= 5-3 sqrt( 3x + 7 )
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{{{ sqrt( 3x + 7 ) + sqrt( x + 6 ) = 3 }}}
{{{ sqrt( x + 6 ) = 3 - sqrt(3x+7)}}}
{{{x + 6 = 9 - 6sqrt(3x+7) + 3x+7}}}
{{{-2x - 10 = -6sqrt(3x+7)}}}
{{{x + 5 = 3sqrt(3x+7)}}}
Square again
{{{x^2 + 10x + 25 = 9(3x+7) = 27x + 63}}}
{{{x^2 - 17x - 38 = 0}}}
(x+2)*(x-19) = 0