document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67692>Question 67692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation for x. Hint: Factor the left hand side.  [Do not report answers in decimal – leave them in radical form, and be sure to simplify radicals. \r<BR>\n" );
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document.write( "x^2 + 4x + 4 = 7\r<BR>\n" );
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document.write( "I have come up with x = 2 +or- sqrt7. Is this a correct answer??? I would appreciate if someone could let me know howe I am doing. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48148 by </B><A HREF=/tutors/aboutme.mpl?userid=brandonpark2889><B>brandonpark2889(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brandonpark2889><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation for x. Hint: Factor the left hand side.  [Do not report answers in decimal – leave them in radical form, and be sure to simplify radicals. <BR>\n" );
document.write( "x^2 + 4x + 4 = 7 <BR>\n" );
document.write( "I have come up with x = 2 +or- sqrt7. Is this a correct answer??? I would appreciate if someone could let me know howe I am doing. Thanks.\r<BR>\n" );
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document.write( "Well... first, of all, the right hand side MUST be 0, if you want to factor it.<BR>\n" );
document.write( "So... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4=7 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtract 7 on each side: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4-7=7-7 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4-7=7-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It ends<BR>\n" );
document.write( "up with= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now factor this: this turns to: (x+3)(x-1)=0.<BR>\n" );
document.write( "Now think. If x=-3, then it would be (-3+3)(-3-1)=0, right? Simplify that,<BR>\n" );
document.write( "then it becomes 0=0. how did I think of x=-3? That's because I thought of<BR>\n" );
document.write( "Zero Product Property. Concentrate on (x+3). If you get the opposite of +3,<BR>\n" );
document.write( "wouldn't it be -3? and -3+3=0... and 0(-3-1)=0... 0x-4=0... then when you simplify that, the result would be: 0=0. But there are<BR>\n" );
document.write( "actually 2 answers. Think of (x-1) now. Repeat this process... x could also<BR>\n" );
document.write( "equal 1. So x={-3,1}... not x= 2 +or- sqrt7 :P<BR>\n" );
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document.write( "I love math. Do you?<BR>\n" );
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