document.write( "Question 131109: 5) solve 4x+x(x-1)=0
\n" ); document.write( " find the x-intercepts of f(x)=4x+x(x-1)
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Algebra.Com's Answer #95734 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4x%2Bx%28x-1%29=0\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"4x%2Bx%5E2-x=0\"$ Distribute\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B3x=0\"$ Combine like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"x%28x%2B3%29=0\"$ Factor the left side \r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( " $\"x=0\"$ or $\"x%2B3=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=0\"$ or $\"x=-3\"$ Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "So our solutions are \r
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\n" ); document.write( "\n" ); document.write( " $\"x=-3\"$ or $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "which means that the x-intercepts are\r
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\n" ); document.write( "\n" ); document.write( "(-3,0) and (0,0)\r
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\n" ); document.write( "\n" ); document.write( "Notice if we graph $\"y=x%5E2-3x\"$ we can see that the roots are $\"x=-3\"$ and $\"x=0\"$ . So this visually verifies our answer.\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2%2B3x%29+\"$
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