document.write( "Question 1098789: I don't understand how to solve a certain type of exponential function. The textbook is not explaining the full steps. The textbook example:\r
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\n" ); document.write( "\n" ); document.write( "line 1 \"+3%283%5E2x%29+-+28%283%5Ex%29+%2B+9+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "line2 \"+3%28%283%5Ex%292%29+-+28%283%5Ex%29+%2B+9=0+\"\r
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\n" ); document.write( "\n" ); document.write( "line 3 \"+3z%5E2+-+28z+%2B+9+=+0+\"
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\n" ); document.write( "\n" ); document.write( "line 4 \"+3z%5E2+-+27z+-+z+%2B+9+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "line 5 \"3z%28z+-+9%29+-+%28z+-+9%29+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "From here the equation gets factored down until the final answer is x= -1 or x = 2. I understand that part and I follow the first three lines. I get that z is substituted for \"+3%5Ex+\" \r
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\n" ); document.write( "\n" ); document.write( "I don't follow what is happening in lines 4 and 5. Could someone please explain in detail those two lines?
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Algebra.Com's Answer #713167 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Check your line 1.    \r\n" );
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document.write( "I think that it must be \r\n" );
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document.write( "\"3%2A%283%5E%282x%29%29+-+28%2A3%5Ex+%2B+9\" = 0.   (In plain text format form  it is  3*(3^(2x)) - 28*3^x + 9 = 0.)\r\n" );
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document.write( "If it is so, then it is a quadratic equation relative \"3%5Ex\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "For many solved problems of this type (your samples) see the lesson\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Exponential equations\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "Comment from student: No. Equation is written as in the textbook. It is a lesson not on quadratic equations but on exponential equations. Thank you for the link.
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\n" ); document.write( "\n" ); document.write( "My response. Below is the plot of the function in the lft side of your 1-st line.\r
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\n" ); document.write( "\n" ); document.write( "Plot y = 3(3^2x) - 28(3^x) + 9 = \"3%283%5E2x%29+-+28%283%5Ex%29+%2B+9\"\r
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\n" ); document.write( "\n" ); document.write( "There is NO ANY SENSE to argue with me.\r
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