document.write( "Question 146867: How do you solve - 5| x + 1| = -10, whats the answer? \n" ); document.write( "
Algebra.Com's Answer #107255 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"-5%2Aabs%28x%2B1%29=-10\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"abs%28x%2B1%29=2\" Divide both sides by -5\r
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\n" ); document.write( "\n" ); document.write( "Break up the absolute value (remember, if you have \"abs%28x%29=a\", then \"x=-a\" or \"x=a\")\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B1=-2\" or \"x%2B1=2\" Set the expression \"x%2B1\" equal to the original value 2 and it's opposite -2\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the first equation \"x%2B1=-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=-2-1\"Subtract 1 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x=-3\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the second equation \"x%2B1=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=2-1\"Subtract 1 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x=1\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "So the solutions to \"-5%2Aabs%28x%2B1%29=-10\" are:\r
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\n" ); document.write( "\n" ); document.write( "\"x=-3\" and \"x=1\"\r
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\n" ); document.write( "\n" ); document.write( "Notice if we graph \"y=-5%2Aabs%28x%2B1%29\" and \"y=-10\" (just set each side equal to y and graph), we get\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-5%2C3%2C-12%2C8%2C-5%2Aabs%28x%2B1%29%2C-10%29\" Graph of \"y=-5%2Aabs%28x%2B1%29\" (red) and \"y=-10\"(green)\r
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\n" ); document.write( "\n" ); document.write( "and we can see the two graphs intersect at \"x=-3\" and \"x=1\". So this verifies our answer.\r
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