document.write( "Question 852954: find all the solutions to the equation -2x^3 -3x^2 +5x+6=0\r
\n" ); document.write( "\n" ); document.write( "The answer given is -2.0, -1.0, 1.5 but I do not understand how they found those solutions
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Algebra.Com's Answer #513779 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "-2x^3 -3x^2 +5x+6=0 |Find one root by trial and error: x = 1 NO, x = -1 YES!!
\n" ); document.write( "Using that root to find others with Synthetic Division:
\n" ); document.write( "\"+highlight_green%28-1%29\" -2 -3 5 6
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\n" ); document.write( " 2 1 -6
\n" ); document.write( " -2 -1 6 0
\n" ); document.write( "\"%28-2x%5E3+-3x%5E2+%2B5x%2B6%29%2F%28x%2B1%29\" = (-2x^2 -x + 6) = 0
\n" ); document.write( " (-2x^2 -x + 6) = 0 Factor
\n" ); document.write( " (-2x +3)(x +2)= 0
\n" ); document.write( " (-2x +3)= 0, x = 3/2
\n" ); document.write( " (x +2)= 0, x = -2
\n" ); document.write( "Roots: x = -2, -1, 1.5
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