document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537392>Question 537392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with these problem i have been doing them for days and they are giving me a headache i hope that this isn't to much to ask for. I am problem by factoring.\r<BR>\n" );
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document.write( "1. 3a^2+a=a^2+10a+11<BR>\n" );
document.write( "2.n(n+3)=70<BR>\n" );
document.write( "3.b(5b-4)=12<BR>\n" );
document.write( "4.4t^2-9+16=15-4t^2<BR>\n" );
document.write( "5.(2k+4)(2k+9)=3^2+11k<BR>\n" );
document.write( "6.5+6y(y+2)=5y+8<BR>\n" );
document.write( "7.(m-3)^2=64\r<BR>\n" );
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document.write( "I know these are a lot of problem but i really tried to solving them and now I'm just giving up. I understand if you don't answer them all and again thank you every much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352875 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 3a^2 + a = a^2 + 10a + 11<BR>\n" );
document.write( "Combine like terms on the left<BR>\n" );
document.write( "3a^2 - a^2 + a - 10a - 11 = 0<BR>\n" );
document.write( "2a^2 - 9a - 11 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(2a - 11)(a + 1)<BR>\n" );
document.write( "two solutions<BR>\n" );
document.write( "2a = 11<BR>\n" );
document.write( "a = 5.5<BR>\n" );
document.write( "and<BR>\n" );
document.write( "a = -1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.n(n+3) = 70<BR>\n" );
document.write( "n^2 + 3n - 70 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(n+10)(n-7) = 0<BR>\n" );
document.write( "n = -10<BR>\n" );
document.write( "and<BR>\n" );
document.write( "n = 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3. b(5b-4) = 12<BR>\n" );
document.write( "5b^2 - 4b - 12 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(5b + 6)(b - 2) = 0<BR>\n" );
document.write( "5b = -6<BR>\n" );
document.write( "b = -6/5<BR>\n" );
document.write( "b = -1.2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4. 4t^2 - 9 + 16 = 15 - 4t^2; this one look like it has a typo<BR>\n" );
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document.write( "5.(2k+4)(2k+9) = 3^2 + 11k<BR>\n" );
document.write( "FOIL the left side<BR>\n" );
document.write( "4k^2 + 18k + 8k + 36 = 9 + 11k<BR>\n" );
document.write( "4k^2 + 26k - 11k + 36 - 9 = 0<BR>\n" );
document.write( "4k^2 + 15k + 25 = 0<BR>\n" );
document.write( "no real solutions, a neg discriminant (15^2 - 4*4*25 = -175)<BR>\n" );
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document.write( "6. 5 + 6y(y+2)= 5y + 8<BR>\n" );
document.write( "5 + 6y^2 + 12y = 5y + 8<BR>\n" );
document.write( "6y^2 + 12y - 5y + 5 - 8 = 0<BR>\n" );
document.write( "6y^2 + 7y - 3 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(3y-1)(2y+3) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "3y = 1<BR>\n" );
document.write( "y = 1/3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2y = -3<BR>\n" );
document.write( "y = -1.5<BR>\n" );
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document.write( "7.(m-3)^2 = 64 <BR>\n" );
document.write( "(m-3)(m-3) = 64<BR>\n" );
document.write( "FOIL <BR>\n" );
document.write( "m^2 - 6m + 9 - 64 = 0<BR>\n" );
document.write( "m^2 - 6m - 55 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(m-11)(m+5) = 0<BR>\n" );
document.write( "m = 11<BR>\n" );
document.write( "and<BR>\n" );
document.write( "m = -5<BR>\n" );
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document.write( "You would be wise to check every one of these solutions in their original equations </SPAN>\n" );
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