document.write( "Question 573163: Solve for x. 4x^2=-13x-10 \n" ); document.write( "
Algebra.Com's Answer #368696 by mathsmiles(68)\"\" \"About 
You can put this solution on YOUR website!
4x^2 = -13x - 10\r
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\n" ); document.write( "\n" ); document.write( "Let's move things around to get this into standard form:
\n" ); document.write( "4x^2 + 13x + 10 = 0\r
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\n" ); document.write( "\n" ); document.write( "Now we have two possibilities:
\n" ); document.write( "(4X + _)(X + _) or (2x + _)(2x + _)
\n" ); document.write( "Need to try a few to see. At least I don't know any quick and easy method for doing this with non-1 x^2 factor.\r
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\n" ); document.write( "\n" ); document.write( "(4X + 5)(X + 2) = Foil: 4X^2 + 8X + 5X + 10 = 4X^2 + 13X + 10. Pure luck!!\r
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\n" ); document.write( "\n" ); document.write( "Solving using these factors:
\n" ); document.write( "(4X+5)(X+2) = 0
\n" ); document.write( "(4X + 5) = 0
\n" ); document.write( "4X = -5
\n" ); document.write( "X = -5/4
\n" ); document.write( "AND
\n" ); document.write( "(x+2) = 0
\n" ); document.write( "x = -2\r
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\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "4(-5/4)^2 = -13(-5/4) - 10
\n" ); document.write( "4(25/16) = 65/4 - 10 Factoring the 4 from the first term gives ..
\n" ); document.write( "25/4 = 65/4 - 40/4
\n" ); document.write( "25/4 = 25/4 Correct!\r
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\n" ); document.write( "\n" ); document.write( "4(-2)^2 = -13(-2) - 10
\n" ); document.write( "4 (4) = 26 - 10
\n" ); document.write( "16 = 16 Correct!\r
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