document.write( "Question 666451: I need to solve this and show step by step. So here it is: 6x^3-26x^2-20x=0 Ok thanks. \n" ); document.write( "

Algebra.Com's Answer #414466 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6x%5E3-26x%5E2-20x=0+\"$ .....factor out $\"2x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%283x%5E2-13x-10%29=0+\"$ .....replace $\"-13x\"$ with $\"2x-15x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%283x%5E2%2B2x-15x-10%29=0+\"$ .....group\r
\n" ); document.write( "\n" ); document.write( " $\"2x%28%283x%5E2%2B2x%29-%2815x%2B10%29%29=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%28%283x%5E2%2B2x%29-%2815x%2B10%29%29=0+\"$ .factor out $\"x\"$ from $\"3x%5E2%2B2x\"$ and $\"5\"$ from $\"15x%2B10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%28x%283x%2B2%29-5%283x%2B2%29%29=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%28x-5%29%283x%2B2%29=0+\"$ ...now we have factor it completely and we can find solutions by setting each factor equal to zero:\r
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\n" ); document.write( "\n" ); document.write( "if $\"2x=0+\"$ ......=>..... $\"x=0\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"%28x-5%29=0+\"$ ......=>..... $\"x=5\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"%283x%2B2%29=0+\"$ ......=>..... $\"3x=-2\"$ =>..... $\"x=-2%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-7%2C+7%2C+-140%2C+7%2C+6x%5E3-26x%5E2-20x%29+\"$ \r
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