SOLUTION: How would you solve this equation? {{{ sqrt ( 2x ) = sqrt ( 3x+12 )-2 }}}

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Question 707329: How would you solve this equation?
+sqrt+%28+2x+%29+=+sqrt+%28+3x%2B12+%29-2+
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Square both sides and simplify. You may make to:
x%2B16=2%2Asqrt%283x%2B12%29

Square both sides again and simplify, getting:
x%5E2%2B20x%2B208=0

Easiest to use formula for solution to quadratic equation:
x=%28-20%2Bsqrt%2820%5E2-4%2A208%29%29%2F2
OR
x=%28-20-sqrt%2820%5E2-4%2A208%29%29%2F2
and find what you get.

You get -10+6i or -10-6i
(complex results)