document.write( "Question 472123: What is 3x+25x+50 completely factored. The answer should look like _(x_?)(x_?)\r
\n" ); document.write( "\n" ); document.write( "From what I understand the formula is ax+bx+c and the outcome should be
\n" ); document.write( "(ax+c)(ax+c)
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Algebra.Com's Answer #323735 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+3x%5E2+%2B+25x+%2B+50+\"
\n" ); document.write( "The direct way is to use the quadratic formula to find the roots
\n" ); document.write( "The formula is:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "when the form of the equation is:
\n" ); document.write( "\"+ax%5E2+%2B+bx+%2B+c+=+0+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+25+\"
\n" ); document.write( "\"+c+=+50+\"
\n" ); document.write( "\"x+=+%28-25+%2B-+sqrt%28+25%5E2-4%2A3%2A50+%29%29%2F%282%2A3%29+\"
\n" ); document.write( "\"x+=+%28-25+%2B-+sqrt%28+625+-+600+%29%29+%2F+6+\"
\n" ); document.write( "\"x+=+%28-25+%2B-+sqrt%28+25+%29%29+%2F+6+\"
\n" ); document.write( "\"+x+=+%28+-25+%2B+5+%29%2F6+\"
\n" ); document.write( "\"+x+=+-10+%2F+3+\"
\n" ); document.write( "and
\n" ); document.write( "\"+x+=+%28+-25+-+5%29+%2F+6+\"
\n" ); document.write( "\"+x+=+-5+\"
\n" ); document.write( "The roots are \"-10%2F3\" and \"+-5+\"
\n" ); document.write( "I can rewrite the solutions as:
\n" ); document.write( "\"+x+%2B+10%2F3+=+0+\" and
\n" ); document.write( "\"+x+%2B+5+=+0+\"
\n" ); document.write( "And If I multiply these together:
\n" ); document.write( "\"+%28x+%2B+10%2F3%29%2A%28x+%2B+5%29+=+0+\"
\n" ); document.write( "Expanding:
\n" ); document.write( "\"x%5E2+%2B+%2810%2F3%29%2Ax+%2B+5x+%2B+50%2F3+=+0+\"
\n" ); document.write( "Multiply both sides by \"+3+\"
\n" ); document.write( "\"3x%5E2+%2B+10x+%2B+15x+%2B+50+=+0+\"
\n" ); document.write( "\"+3x%5E2+%2B+25x+%2B+50+=+0+\"
\n" ); document.write( "So the factors of the equation are:
\n" ); document.write( "\"+x+%2B+10%2F3++\" and
\n" ); document.write( "\"+x+%2B+5++\"
\n" ); document.write( "
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