document.write( "Question 967588: solve the equation algebraically: $\"+sqrt%28+5x%2B6+%29=+2x-6+\"$ \n" ); document.write( "

Algebra.Com's Answer #591374 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( " $\"+sqrt%28+5x%2B6+%29=+2x-6+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28sqrt%28+5x%2B6+%29%29%5E2=+%282x-6%29%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+5x%2B6+=+%282x%29%5E2-24x%2B6%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+5x%2B6+=+4x%5E2-24x%2B36+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+0+=+4x%5E2-24x-5x-6%2B36+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+4x%5E2-29x%2B30=0+\"$ ...factor completely, write $\"-29x\"$ as $\"-5x-24x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4x%5E2-5x-24x%2B30%29+=+0\"$ ...group\r
\n" ); document.write( "\n" ); document.write( " $\"%284x%5E2-5x%29-%2824x-30%29%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%284x-5%29-6%284x-5%29%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-6%29%284x-5%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x-6%29+=+0\"$ => $\"x=6\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"%284x-5%29+=+0\"$ => $\"4x=5\"$ => $\"x=5%2F4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+50%2C+%28x-6%29%284x-5%29%29+\"$ \r
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