document.write( "Question 45989: How do you solve 5x^3+54x^2-72x for x? I would like you to show each step and explain why you did each step. And I would like you to use factoring to solve the equation. Thank you so much. \n" ); document.write( "

Algebra.Com's Answer #30532 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5x%5E3+%2B+54x%5E2+-+72x\"$
\n" ); document.write( " $\"x%285x%5E2+%2B+54x+-+72%29\"$ take out the common factor
\n" ); document.write( " $\"x%285x%5E2+%2B+54x+-+72%29\"$ two factors of (5*-72) that sum to (54): 60 and -6
\n" ); document.write( " $\"x%285x%5E2+%2B+60x+-+6x+-+72%29\"$
\n" ); document.write( " $\"x%28%285x%5E2+%2B+60x%29+%2B+%28-6x+-+72%29%29\"$
\n" ); document.write( " $\"x%285x%28x+%2B+12%29+-+6%28x+%2B+12%29%29\"$
\n" ); document.write( " $\"x%28x+%2B+12%29%285x+-+6%29\"$ \n" ); document.write( "

\n" );