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Question 464710: x+6=sqrt12+x
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! x + 6 = √(12 + x)
(x + 6)(x + 6) = 12 + x {squared both sides to get rid of square root sign}
x² + 12x + 36 = 12 + x {used foil method}
x² + 11x + 24 = 0 {subtracted 12 and subtracted x from both sides}
(x + 8)(x + 3) = 0 {factored into two binomials}
x + 8 = 0 or x + 3 = 0 {set each factor equal to 0}
x = -8 or x = -3 {solved each equation for x}
For more help from me, visit: www.algebrahouse.com
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