document.write( "Question 464710: x+6=sqrt12+x \n" ); document.write( "

Algebra.Com's Answer #318375 by algebrahouse.com(1659) $\"\"$ $\"About$

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x + 6 = √(12 + x)
\n" ); document.write( "(x + 6)(x + 6) = 12 + x {squared both sides to get rid of square root sign}
\n" ); document.write( "x² + 12x + 36 = 12 + x {used foil method}
\n" ); document.write( "x² + 11x + 24 = 0 {subtracted 12 and subtracted x from both sides}
\n" ); document.write( "(x + 8)(x + 3) = 0 {factored into two binomials}
\n" ); document.write( "x + 8 = 0 or x + 3 = 0 {set each factor equal to 0}
\n" ); document.write( "x = -8 or x = -3 {solved each equation for x}
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