document.write( "Question 369143: what is the solution to(12x^(2)-6x)/(24x) \n" ); document.write( "

Algebra.Com's Answer #263033 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%2812x%5E%282%29-6x%29%2F%2824x%29\"$ is an expression. All you can do to an expression is simplify it. There is no \"solution\" for an expression.

\n" ); document.write( "This is a fraction. And simplifying a fraction means reducing it if possible. And reducing fractions involves canceling common factors. And to cancel factors we have to know what the factors are.

\n" ); document.write( "So we start by factoring. In the numerator we have a Greatest Common Factor (GCF) that is not one. The GCF is 6x so the numerators factors as shown below:
\n" ); document.write( " $\"%286x%282x-1%29%29%2F%2824x%29\"$
\n" ); document.write( "And we can factor the denominator:
\n" ); document.write( " $\"%286x%282x-1%29%29%2F%286x%2A4%29\"$
\n" ); document.write( "Now we can see that 6x is a factor of both the numerator and the denominator. We can cancel them:
\n" ); document.write( " $\"%28cross%286x%29%282x-1%29%29%2F%28cross%286x%29%2A4%29\"$
\n" ); document.write( "leaving
\n" ); document.write( " $\"%282x-1%29%2F4%29\"$
\n" ); document.write( "This is the simpified fraction. \n" ); document.write( "

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