document.write( "Question 29099: Please help me solve the equation (x^2-3x)/(4x^2-3x)*(4x^2-16)
\n" ); document.write( "I have tried to follow the instructions in my book by factoring it to:
\n" ); document.write( "x(x-3)/4x(x-2)*(2x+4)(2x-4)
\n" ); document.write( "can you please show the problem step by step since i have others like it that i would like to know how to solve
\n" ); document.write( "Thank You,
\n" ); document.write( "Alyssa
\n" ); document.write( "

Algebra.Com's Answer #15879 by ms.jennifer(4)\"\" \"About 
You can put this solution on YOUR website!
First you want to factor the top of the divison part (x^2-3x) to x(x-3) and the bottom of the divison part (4x^2-3x) to 4x(x-3).
\n" ); document.write( "So you have x(x-3)/4x(x-3)* (4x^2-16).
\n" ); document.write( "so the x-3 cancel and you are left with x/4x* (4x^2-16)
\n" ); document.write( "Next you will set 4x^2-16 over one to make it at fraction
\n" ); document.write( "The mulitply x/4x with 4x^2-16/1
\n" ); document.write( "So you get x(4x^2-16)/4x
\n" ); document.write( "Simiply 4x^3-16x/4x
\n" ); document.write( "there is a common Factor of 4x
\n" ); document.write( "4x(x^2-4)/4x
\n" ); document.write( "the 4xs cancel so you are left with x^2-4
\n" ); document.write( "which factors to be (x-2)(x+2)
\n" ); document.write( "so the roots are {2,-2}
\n" ); document.write( "
\n" ); document.write( "
\n" );