document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213511>Question 213511</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030416620/algebrahomeworkh>Holt Texas Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of the variable and the measure of each angle.<BR>\n" );
document.write( "(4x^2-6) degrees + (-2x^2+19x) degrees = straight line (180 degrees) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161356 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=161356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (4x^2-6)+(-2x^2+19x)=180<BR>\n" );
document.write( "4x^2-6-2x^2+19x-180=0<BR>\n" );
document.write( "2x^2+19x-186=0<BR>\n" );
document.write( "(2x+31)(x-6)=0<BR>\n" );
document.write( "x-6=0<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "4*6^2-6=4*36-6=138 ans.<BR>\n" );
document.write( "-2*6^2+19*6=-2*36+114=-72+114=42 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "138+42=180<BR>\n" );
document.write( "180=180 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );