document.write( "Question 580941: I am trying to help my niece with her Algebra and both of us our totally stumped. Here is the example of the problems we are working. Can you please review and tell me how you got the answer?\r
\n" );
document.write( "\n" );
document.write( "2z squared + 3Z =135\r
\n" );
document.write( "\n" );
document.write( "Thank you for your assistance.
\n" );
document.write( "I do appreciate it!
\n" );
document.write( "Jamie Harrelson \n" );
document.write( "
Algebra.Com's Answer #371400 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! subtracting 135 ___ 2z^2 + 3z - 135 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the object is to factor the quadratic into two binomials and then apply the zero product rule\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "finding two factors of -135, that can generate a sum of 3, when one of them is multiplied by 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-15 and 9 are factors, 9 multiplied by 2 and added to -15 gives us 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2z - 15)(z + 9) = 0 ___ zero product states that if the product is zero, any or all of the factors are zero\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2z - 15 = 0 ___ 2z = 15 ___ z = 15/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "z + 9 = 0 ___ z = -9 \n" ); document.write( " |