document.write( "Question 227120: The problem is I completely do not understand
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document.write( "It states solve using the principle of zero products
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document.write( "(2x + 2/5)(4x - 1/7)= 0\r
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document.write( "Can anyone show me how to do this? \n" );
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Algebra.Com's Answer #168887 by tam67(1)![]() ![]() ![]() You can put this solution on YOUR website! I think I have figured this out I'll try to explain it in detail but please let me know if I'm right or wrong.\r \n" ); document.write( "\n" ); document.write( "(2x + 2/5)(4x - 1/7)= 0 \n" ); document.write( "I take the first set of ( ) and set it equal to zero: \n" ); document.write( "2x + 2/5 = 0 \n" ); document.write( "2x + 2/5 - 2/5 = -2/5 \n" ); document.write( " Then solve for x: The 2 on the left is the same as 2/1, and we can multiply each side by the reciprocal, which is 1/2 \n" ); document.write( "(1/2)2x = -2/5(1/2) \n" ); document.write( "x = -2/10 =-1/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now I'll plug in -1/5 for x \n" ); document.write( "(2(-1/5) + 2/5)(4(-1/5) - 1/7)= 0 \n" ); document.write( "(-2/5 + 2/5)(-4/5 - 1/7) \n" ); document.write( "0(28/35 -5/35) \n" ); document.write( "0(23/35)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now the same for the second ( ) \n" ); document.write( "4x - 1/7 = 0 \n" ); document.write( "4x - 1/7 + 1/7 = 1/7 \n" ); document.write( "(1/4)4x = 1/7(1/4) \n" ); document.write( "x = 1/28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now I plug in 1/28 for x \n" ); document.write( "(2(1/28) + 2/5)(4(1/28) - 1/7)= 0 \n" ); document.write( "(2/28 + 2/5)(4/28 - 1/7) \n" ); document.write( "(10/140 + 56/140)(20/140 - 20/140) \n" ); document.write( "66/140(0) = 0\r \n" ); document.write( "\n" ); document.write( "Please let me know how I done\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |