document.write( "Question 1006368: how to factor or get the zeros of x^2 = x^3 - 6x\r
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Algebra.Com's Answer #622505 by rothauserc(4718)\"\" \"About 
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x^2 = x^3 -6x
\n" ); document.write( "combine terms and set = 0
\n" ); document.write( "x^3 - x^2 - 6x = 0
\n" ); document.write( "factor x out
\n" ); document.write( "x(x^2 -x -6) = 0
\n" ); document.write( "factor polynomial
\n" ); document.write( "x(x-3)(x+2) = 0
\n" ); document.write( "the zeros are x = 0, 3, -2
\n" ); document.write( "check the answers by substituting for x
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\n" ); document.write( "0^2 = 0^3 - 6*0
\n" ); document.write( "0 = 0
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\n" ); document.write( "3^2 = 3^3 - 6*3
\n" ); document.write( "9 = 27 - 18
\n" ); document.write( "9 = 9
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\n" ); document.write( "(-2)^2 = (-2)^3 - 6*(-2)
\n" ); document.write( "4 = -8 + 12
\n" ); document.write( "4 = 4
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\n" ); document.write( "our answers check, here is a graph of the equation
\n" ); document.write( "\"graph%28300%2C+200%2C+-6%2C+6%2C+-10%2C+10%2C+x%5E3-x%5E2-6x%29\"
\n" ); document.write( "note the values of x where the equation crosses the x axis\r
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