SOLUTION: Please help me solve this equation {{{sqrt(3x-5)=7-sqrt(x + 2)}}}

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Question 225948: Please help me solve this equation sqrt%283x-5%29=7-sqrt%28x+%2B+2%29
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
squaring ___ 3x - 5 = 49 - 14 sqrt(x+2) + x + 2

subtracting x+51 ___ 2x - 56 = -14 sqrt(x+2)

squaring ___ 4x^2 - 224x + 56^2 = 196x + 392

dividing by 4 ___ x^2 - 56x + 28^2 = 49x + 98

subtracting 49x+98 ___ x^2 - 105x + 686 = 0

factoring ___ (x - 98)(x - 7) = 0

x - 98 = 0 ___ x = 98

x - 7 = 0 ___ x = 7

checking the results shows that only 7 is an actual solution
___ this situation frequently happens when multiple squaring operations take place