document.write( "Question 75807: Can you please help me solve this problem?\r
\n" ); document.write( "\n" ); document.write( "-8(1/4t - 4)= 12 - 2t
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Algebra.Com's Answer #54430 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Can you please help me solve this problem? \r
\n" ); document.write( "\n" ); document.write( "Is it this?:\r
\n" ); document.write( "\n" ); document.write( "1. \"-8%281%2F%284t+-+4%29%29=12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "Or is it this?:\r
\n" ); document.write( "\n" ); document.write( "2. \"+-8%281%2F4t+-+4%29+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "Or is it this?:\r
\n" ); document.write( "\n" ); document.write( "3. \"+-8%28%281%2F4%29t+-+4%29+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "When you type an algebra problem all on one line
\n" ); document.write( "you have to put parentheses around the denominator
\n" ); document.write( "to show whether the denominator consists of just
\n" ); document.write( "the 4, the 4t or the 4t-4\r
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "If it's \r
\n" ); document.write( "\n" ); document.write( "1. \"-8%281%2F%284t+-+4%29%29=12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( " then put the right side over 1 so
\n" ); document.write( "everythinbg will be a fraction and put parentheses
\n" ); document.write( "around it:\r
\n" ); document.write( "\n" ); document.write( " \"-8%281%2F%284t+-+4%29%29=%28%2812+-+2t%29%2F1%29\"\r
\n" ); document.write( "\n" ); document.write( "Find the LCD which is \"%284t+-+4%29\"
\n" ); document.write( "but put it over one and in parentheses like this:
\n" ); document.write( "\"%28%284t-4%29%2F1%29\"
\n" ); document.write( "Then multiply both sides of the equation by it: \r
\n" ); document.write( "\n" ); document.write( " \"-8%281%2F%284t+-+4%29%29%28%284t-4%29%2F1%29=%28%2812+-+2t%29%2F1%29%28%284t-4%29%2F1%29\"\r
\n" ); document.write( "\n" ); document.write( "Cancel out the \"%284t-4%29\"'s on the left which just leaves
\n" ); document.write( "-8 on the left and erase the 1 denominators on the right
\n" ); document.write( "and you just have:\r
\n" ); document.write( "\n" ); document.write( "\"-8+=+%2812-2t%29%284t-4%29\"\r
\n" ); document.write( "\n" ); document.write( "Use FOIL on the right\r
\n" ); document.write( "\n" ); document.write( "\"-8+=+48t+-+48+-+8t%5E2+%2B+8t\"\r
\n" ); document.write( "\n" ); document.write( "Combine terms on the right:\r
\n" ); document.write( "\n" ); document.write( "\"-8+=+56t+-+48+-+8t%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Get 0 on the right:\r
\n" ); document.write( "\n" ); document.write( "\"8t%5E2+-+56t+-+8+%2B+48+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"8t%5E2+-+56t+%2B+40=0\"\r
\n" ); document.write( "\n" ); document.write( "Divide everty term by 8\r
\n" ); document.write( "\n" ); document.write( "\"%288t%5E2%29%2F8+-+%2856t%29%2F8+%2B+40%2F8+=+0%2F8\"\r
\n" ); document.write( "\n" ); document.write( "\"t%5E2+-+7t+%2B+5=0\"\r
\n" ); document.write( "\n" ); document.write( "Solve that by the quadratic formula\r
\n" ); document.write( "\n" ); document.write( "a = 1, b = -7, c = 8\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2-4%2A%281%29%2A%285%29+%29%29%2F%282%2A%281%29%29+\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "\"t+=+%287+%2B-+sqrt%2849-20%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%287+%2B-+sqrt%2829%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "So the answers are \r
\n" ); document.write( "\n" ); document.write( "\"t+=+%287+%2B+sqrt%2829%29%29%2F2+\" and \"t+=+%287+-+sqrt%2829%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "------------------------\r
\n" ); document.write( "\n" ); document.write( "If it's \r
\n" ); document.write( "\n" ); document.write( "2. \"+-8%281%2F4t+-+4%29+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "then distribute on the left to remove
\n" ); document.write( "the parentheses\r
\n" ); document.write( "\n" ); document.write( " \"+-8%281%2F4t%29+-+%28-8%294+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( " \"+%28-8%2F4t%29+-+%28-32%29+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( " \"+%28-2%2Ft%29+%2B+32+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "Put 1 under the 32, 12 and -2t so
\n" ); document.write( "everything will be a fraction, and put
\n" ); document.write( "parentheses around them\r
\n" ); document.write( "\n" ); document.write( "\"+%28-2%2Ft%29+%2B+%2832%2F1%29+=+%2812%2F1%29+-+%282t%29%2F1\" \r
\n" ); document.write( "\n" ); document.write( "The LCD is t, so put it over 1 as \"%28t%2F1%29\"
\n" ); document.write( "and multiply every term by it:\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "We can cancel the t's in the first term and erase
\n" ); document.write( "all the 1 denominators and get:\r
\n" ); document.write( "\n" ); document.write( "\"+-2+%2B+32t+=+12t+-+2t%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Get 0 on the right\r
\n" ); document.write( "\n" ); document.write( "\"2t%5E2+%2B20t+-+2+=+0\"\r
\n" ); document.write( "\n" ); document.write( "Divide every term by 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282t%5E2%29%2F2+%2B%2820t%29%2F2+-+2%2F2+=+0%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"t%5E2+%2B+10t+-+1+=+0\"\r
\n" ); document.write( "\n" ); document.write( "Solve that by the quadratic formula\r
\n" ); document.write( "\n" ); document.write( "a = 1, b = 10, c = -1\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "\"t+=+%28-10+%2B-+sqrt%28100%2B4%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-10+%2B-+sqrt%28104%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-10+%2B-+sqrt%284%2A26%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-10+%2B-+sqrt%284%29sqrt%2826%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-10+%2B-+2sqrt%2826%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "So the answers are \r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-10+%2B+2sqrt%2826%29%29%2F2+\" and \"t+=+%28-10+-+2sqrt%2826%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "\n" ); document.write( "If it's\r
\n" ); document.write( "\n" ); document.write( "3. \"+-8%28%281%2F4%29t+-+4%29+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "then distribute on the left to remove the parentheses\r
\n" ); document.write( "\n" ); document.write( "\"+-8%281%2F4%29t+-+%28-8%29%284%29+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "\"-2t+%2B+32+=+12+-+2t\"\r
\n" ); document.write( "\n" ); document.write( "\"32=12\"\r
\n" ); document.write( "\n" ); document.write( "So there is no solution.\r
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "\n" ); document.write( "Edwin
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