document.write( "Question 55092: Please help Solve\r
\n" ); document.write( "\n" ); document.write( "x^2+8x+15=0
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Algebra.Com's Answer #37321 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
x^2+8x+15=0
\n" ); document.write( "This quadratic equation is written in standard form:\"highlight%28ax%5E2%2Bbx%2Bc%29\"
\n" ); document.write( "We need to factor the quadratic equation.
\n" ); document.write( "Our a=1, b=8, and c=15
\n" ); document.write( "Because a=1, we can start out factoring like this:
\n" ); document.write( "(x____)(x____)=0
\n" ); document.write( "We replace the blank with 2 integers that multiply to give you c, but add together to give you b.
\n" ); document.write( "5*3=15 and 5+3=8
\n" ); document.write( "(x+5)(x+3)=0
\n" ); document.write( "Using the zero product property and set both parenthesis=0 and solve for x:
\n" ); document.write( "x+5=0
\n" ); document.write( "x+5-5=0-5
\n" ); document.write( "x=-5
\n" ); document.write( ":
\n" ); document.write( "x+3=0
\n" ); document.write( "x+3-3=0-3
\n" ); document.write( "x=-3
\n" ); document.write( "The solution set is x={-5,-3}
\n" ); document.write( "Happy Calculating!!!
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