document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120112>Question 1120112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation by the method of factoring: 4x^3+6x^2=70x </SPAN>\n" );
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document.write( "4x^3+6x^2 = 70x<br><BR>\n" );
document.write( "Get all terms on one side, with \"0\" on the other side:<br><BR>\n" );
document.write( "4x^3+6x^2-70x = 0<br><BR>\n" );
document.write( "Divide by the constant factor 2:<br><BR>\n" );
document.write( "2x^3+3x^2-35x = 0<br><BR>\n" );
document.write( "Factor out the common power of the variable:<br><BR>\n" );
document.write( "x(2x^2+3x-35) = 0<br><BR>\n" );
document.write( "Factor the remaining quadratic factor:<br><BR>\n" );
document.write( "x(2x-7)(x+5) = 0<br><BR>\n" );
document.write( "The solutions are when any of the factors on the left are zero:<br><BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "2x-7 = 0  -->  x = 7/2<BR>\n" );
document.write( "x+5 = 0  -->  x = -5<br><BR>\n" );
document.write( "Answer: The roots are -5, 0, and 7/2. </SPAN>\n" );
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