document.write( "Question 109933: Please explain how to solve the quadratic equation:\r
\n" ); document.write( "\n" ); document.write( "3x^2 + 5x = -2
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Algebra.Com's Answer #80103 by stanbon(75887)\"\" \"About 
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Please explain how to solve the quadratic equation:\r
\n" ); document.write( "\n" ); document.write( "3x^2 + 5x = -2
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\n" ); document.write( "3x^2 + 5x +2 =0
\n" ); document.write( "One solution method is called the AC Method.
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\n" ); document.write( "Think of two numbers whose product is A*C = 6
\n" ); document.write( "and whose sum = B = 5
\n" ); document.write( "The numbers are 2 and 3
\n" ); document.write( "Replace 5x by 2x + 3x to get:
\n" ); document.write( "3x^2+2x+3x+2 = 0
\n" ); document.write( "Factor the 1st two and the last two terms separately to get:
\n" ); document.write( "x(3x+2)+(3x+2)=0
\n" ); document.write( "Factor again:
\n" ); document.write( "(3x+2)(x+1)=0
\n" ); document.write( "Either 3x+2=0 or x+1=0
\n" ); document.write( "Either x = -2/3 or x=-1
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\n" ); document.write( "Other ways to solve the quadratic are:
\n" ); document.write( "graphing
\n" ); document.write( "or the quadratic formula
\n" ); document.write( "or factoring other than AC Method.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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