document.write( "Question 832639: How do I find a?
\n" ); document.write( "6a(11a+5)=0
\n" ); document.write( "I use distrib prop and stuck.
\n" ); document.write( "66a^2 + 30a=0 \n" ); document.write( "
Algebra.Com's Answer #502123 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi, there--\r\n" );
document.write( "\r\n" );
document.write( "THE PROBLEM:\r\n" );
document.write( "How do I find a?\r\n" );
document.write( "6a(11a+5)=0\r\n" );
document.write( "I use distrib prop and stuck. \r\n" );
document.write( "66a^2 + 30a=0\r\n" );
document.write( "\r\n" );
document.write( "A SOLUTION:\r\n" );
document.write( "Using the distributive property is a useful strategy when you wan to simplify an equation. In this\r\n" );
document.write( "case, you want to solve for a.\r\n" );
document.write( "\r\n" );
document.write( "What you have here is a quadratic equation in factored form. I would leave it factored because it will be \r\n" );
document.write( "easy to find a in this form.\r\n" );
document.write( "\r\n" );
document.write( "Notice that you are multiplying two terms together, 6a and 11a+5. Their product is zero.\r\n" );
document.write( "The interesting thing about zero, is that if it is the product, then one of those two factors must equal 0.\r\n" );
document.write( "(Because zero times anything is zero.)\r\n" );
document.write( "\r\n" );
document.write( "So we have two possibilities: either 6a = 0 or 11a + 5 = 0.\r\n" );
document.write( "\r\n" );
document.write( "We just need to solve for these two possibilities and we will know what a can be.\r\n" );
document.write( "\r\n" );
document.write( "If 6a = 0, then a = 0 because 6 * 0 = 0.\r\n" );
document.write( "If 11a + 5 = 0, then we simplify\r\n" );
document.write( "11a = -5\r\n" );
document.write( "a = -5/11\r\n" );
document.write( "\r\n" );
document.write( "So for your equation, a = 0 or a = -5/11. Both values will make the equation true.\r\n" );
document.write( "\r\n" );
document.write( "Let's check to make sure:\r\n" );
document.write( "\r\n" );
document.write( "For  a = 0\r\n" );
document.write( "--------\r\n" );
document.write( "6a(11a + 5) = 0\r\n" );
document.write( "6(0)(11(0) + 5) = 0\r\n" );
document.write( "(0)(5) = 0\r\n" );
document.write( "0 = 0 \r\n" );
document.write( "Check!\r\n" );
document.write( "\r\n" );
document.write( "For a = -5/11\r\n" );
document.write( "------------\r\n" );
document.write( "6a(11a + 5) = 0\r\n" );
document.write( "6(-5/11)(11(-5/11) + 5) = 0\r\n" );
document.write( "(-30/11)(-5 + 5) = 0\r\n" );
document.write( "(-30/11)(0) = 0\r\n" );
document.write( "0 = 0 \r\n" );
document.write( "Check!\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" );
document.write( "\r\n" );
document.write( "Good luck with your math,\r\n" );
document.write( "\r\n" );
document.write( "Mrs. F\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
document.write( "
\n" ); document.write( "
\n" );