document.write( "Question 470961: What are the solutions of 3x2 + 6x + 6 = 0?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #323033 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2+%2B+6x+%2B+6+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:

\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " Starting with the general quadratic
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"ax%5E2%2Bbx%2Bc=0\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " the general solution using the quadratic equation is:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So lets solve \"3%2Ax%5E2%2B6%2Ax%2B6=0\" ( notice \"a=3\", \"b=6\", and \"c=6\")
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+%286%29%5E2-4%2A3%2A6+%29%29%2F%282%2A3%29\" Plug in a=3, b=6, and c=6
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+36-4%2A3%2A6+%29%29%2F%282%2A3%29\" Square 6 to get 36
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+36%2B-72+%29%29%2F%282%2A3%29\" Multiply \"-4%2A6%2A3\" to get \"-72\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+-36+%29%29%2F%282%2A3%29\" Combine like terms in the radicand (everything under the square root)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-6+%2B-+6%2Ai%29%2F%282%2A3%29\" Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-6+%2B-+6%2Ai%29%2F%286%29\" Multiply 2 and 3 to get 6
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " After simplifying, the quadratic has roots of
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x=-1%2Bi\" or \"x=-1-i\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );