document.write( "Question 604629: Solve the equation: 4x^3+3x^2=64x+48
\n" );
document.write( "*Please show work :) Thank you! \n" );
document.write( "
Algebra.Com's Answer #381308 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the equation: \n" ); document.write( "4x^3+3x^2=64x+48 \n" ); document.write( "Try grouping \n" ); document.write( "x^2(4x+3)=16(4x+3) \n" ); document.write( "set to zero \n" ); document.write( "x^2(4x+3)-16(4x+3)=0 \n" ); document.write( "factor out (4x+3) \n" ); document.write( "(4x+3)(x^2-16)=0 \n" ); document.write( "solve for x \n" ); document.write( "4x+3=0 \n" ); document.write( "4x=-3 \n" ); document.write( "x=-3/4 \n" ); document.write( "or \n" ); document.write( "x^2-16=0 \n" ); document.write( "(x+4)(x-4)=0 (difference of squares) \n" ); document.write( "x=-4 \n" ); document.write( "and \n" ); document.write( "x=4 \n" ); document.write( "roots or zeros are: -3/4, -4 and 4 \n" ); document.write( " \n" ); document.write( " |