document.write( "Question 534867: Find the value of x
\n" ); document.write( "area of a triangle is 27 and the base is 4x+1 and the height is 3x
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Algebra.Com's Answer #351686 by Earlsdon(6294)\"\" \"About 
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Start with:
\n" ); document.write( "\"A+=+%281%2F2%29b%2Ah\" for the area of a triangle. Substitute \"A+=+27\", \"b+=+4x%2B1\", and \"h+=+3x\"
\n" ); document.write( "\"27+=+%281%2F2%29%284x%2B1%29%283x%29\" Simplify.
\n" ); document.write( "\"27+=+%281%2F2%29%2812x%5E2%2B3x%29\" Multiply both sides by 2.
\n" ); document.write( "\"54+=+12x%5E2%2B3x\" Subtract 54.
\n" ); document.write( "\"12x%5E2%2B3x-54+=+0\" Factor 3 to simplify.
\n" ); document.write( "\"3%284x%5E2%2Bx-18%29+=+0\" Factor the trinomial.
\n" ); document.write( "\"%284x%2B9%29%28x-2%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"4x%2B9+=+0\" or \"x-2+=+0\" so...
\n" ); document.write( "\"4x+=+-9\" and \"x+=+-9%2F4\" or \"x+=+2\" Discard the negative solution as this value of x (\"x+=+-9%2F4\") would make the base and the height negative quantities.
\n" ); document.write( "\"x+=+2\"\r
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