document.write( "Question 619228: 24x^4+72x^3-54x^2-162x=0 \n" ); document.write( "

Algebra.Com's Answer #389488 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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24x^4 + 72x^3 - 54x^2 - 162x = 0
\n" ); document.write( "Group factor
\n" ); document.write( "24x^3(x + 3) - 54x(x + 3) = 0
\n" ); document.write( "Factor out (x+3)
\n" ); document.write( "(x + 3) (24x^3 - 54x) = 0
\n" ); document.write( "Therefore
\n" ); document.write( "x = -3
\n" ); document.write( "and
\n" ); document.write( "24x^3 - 54x = 0
\n" ); document.write( "factor out 6x
\n" ); document.write( "6x(4x^2 - 9) = 0
\n" ); document.write( "Three more solutions
\n" ); document.write( "x = 0
\n" ); document.write( "and
\n" ); document.write( "4x^2 = 9
\n" ); document.write( "x^2 = $\"9%2F4\"$
\n" ); document.write( "x = +/- 3/2,
\n" ); document.write( "x = 1.5
\n" ); document.write( "x = -1.5
\n" ); document.write( ":
\n" ); document.write( "Four roots, -3, -1.5, 0, 1.5 \n" ); document.write( "

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