document.write( "Question 246170: Can you please solve this equation:
\n" ); document.write( "2sqrt(x + 8) = 3sqrt(x - 2) \n" ); document.write( "
Algebra.Com's Answer #179807 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
2sqrt(x + 8) = 3sqrt(x - 2)
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "sqrt(x + 8) = 3sqrt(x - 2)/2
\n" ); document.write( "square both sides
\n" ); document.write( "x+8=9(x-2)/4
\n" ); document.write( "expand terms on right
\n" ); document.write( "x+8=9x/4-9/2
\n" ); document.write( "subtract 9x/4-9/2 from both sides
\n" ); document.write( "4/x+32/4-9x/4+18/4=0
\n" ); document.write( "combine
\n" ); document.write( "50/4-5x/4=0
\n" ); document.write( "add 5x/4 to both sides
\n" ); document.write( "50/4=5x/4
\n" ); document.write( "multiply by 4
\n" ); document.write( "50=5x
\n" ); document.write( "10=x
\n" ); document.write( "check\r
\n" ); document.write( "\n" ); document.write( "2sqrt(x + 8) = 3sqrt(x - 2)
\n" ); document.write( "2sqrt(18)=3sqrt(8)
\n" ); document.write( "2sqrt(9*2)=3sqrt(4*2)
\n" ); document.write( "3*2sqrt(2)=2*3sqrt(2)
\n" ); document.write( "ok\r
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