SOLUTION: what is the solution to(12x^(2)-6x)/(24x)

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Question 369143: what is the solution to(12x^(2)-6x)/(24x)
Answer by jsmallt9(3758) About Me  (Show Source):
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.

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.

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:
%286x%282x-1%29%29%2F%2824x%29
And we can factor the denominator:
%286x%282x-1%29%29%2F%286x%2A4%29
Now we can see that 6x is a factor of both the numerator and the denominator. We can cancel them:
%28cross%286x%29%282x-1%29%29%2F%28cross%286x%29%2A4%29
leaving
%282x-1%29%2F4%29
This is the simpified fraction.