document.write( "Question 95990: Solve each equation.\r
\n" ); document.write( "\n" ); document.write( "2w(4w + 1) = 1 \n" ); document.write( "

Algebra.Com's Answer #69907 by tutorcecilia(2152) $\"\"$ $\"About$

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2w(4w + 1) = 1
\n" ); document.write( " $\"%288w%5E2%2B2w%29\"$ =1 [multiply using the distributive property]
\n" ); document.write( " $\"%288w%5E2%2B2w-1%29\"$ =1-1 [set the equation equal to zero]
\n" ); document.write( " $\"%288w%5E2%2B2w-1%29\"$ =0
\n" ); document.write( "(4w-1)(2w+1)=0 [factor the polynomial]
\n" ); document.write( ".
\n" ); document.write( "4w-1=0 [set each factor equal to zero and solve for the w-value]
\n" ); document.write( "4w=1
\n" ); document.write( "w=1/4
\n" ); document.write( ".
\n" ); document.write( "2w+1=0
\n" ); document.write( "2w=-1
\n" ); document.write( "w=-1/2\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "SOLUTIONS: w = 1/4 or -1/2 \n" ); document.write( "

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