document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463988>Question 463988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all x- intercept:\r<BR>\n" );
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document.write( "f(x)=24x^3-14x-20x\r<BR>\n" );
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document.write( "Please show me step by step to get the answer. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318163 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=318163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all x- intercept: <BR>\n" );
document.write( "f(x)=24x^3-14x-20x <BR>\n" );
document.write( "I will assume you meant 14x to be 14x^2 because equations are not usually written as given<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x)=24x^3-14x^2-20x<BR>\n" );
document.write( "set f(x)=0<BR>\n" );
document.write( "24x^3-14x^2-20x=0<BR>\n" );
document.write( "simplify by dividing by 2<BR>\n" );
document.write( "12x^3-7x^2-10x=0<BR>\n" );
document.write( "factor out x<BR>\n" );
document.write( "x(12x^2-7x-10)=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "(12x^2-7x-10)=0<BR>\n" );
document.write( "Use quadratic formula to solve (12x^2-7x-10)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=12, b=-7, c=-10<BR>\n" );
document.write( "x=[-(-7)ħsqrt((-7)^2-4*12*(-10))]/2*12<BR>\n" );
document.write( "x=[7ħsqrt(49+480)]/24<BR>\n" );
document.write( "x=[7ħ23]/24<BR>\n" );
document.write( "x=30/24=5/4<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-16/24=-2/3<BR>\n" );
document.write( "x-intercepts: (0,5/4,-2/3) </SPAN>\n" );
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