SOLUTION: Simplify 9x^2+6x/12x How do I go about solving this equation?

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Question 171378: Simplify
9x^2+6x/12x
How do I go about solving this equation?
Found 3 solutions by stanbon, jim_thompson5910, gonzo:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2+6x/12x
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You can simplify it but you cannot solve it as it is not an equation.
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Factor to get:
[3x(3x+2)]/12x
Cancel the common factor of "3" to get:
[x(3x+2)]/x
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%289x%5E2%2B6x%29%2F%2812x%29 Start with the given equation


%289x%5E2%29%2F%2812x%29%2B%286x%29%2F%2812x%29 Break up the fraction


%283x%5E2%29%2F%284x%29%2B%281x%29%2F%282x%29 Reduce the coefficients 9%2F12 to get 3%2F4. Reduce the coefficients 6%2F12 to get 1%2F2


%283x%29%2F%284%29%2B1%2F2 Divide x%5E2 by x to get x. Divide and cancel out the x terms in %281x%29%2F%282x%29 to get 1%2F2


So %289x%5E2%2B6x%29%2F%2812x%29 simplifies to %283x%29%2F%284%29%2B1%2F2

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
(9x^2 + 6x)/12x
the numerator can be factored as follows:
(9x^2 + 6x) = x * (9x + 6) = 3x * (3x + 2)
the equation becomes:
3x * (3x + 2)/12x
the x in the numerator and denominator cancel out:
3 * (3x + 2) / 12
the 3 in the numerator divides into the 12 into the denominator so the equation becomes:
(3x + 2)/4
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i think that's as far as you can go.
is the simplification valid?
try substituting in the original equation and in the simplified equation.
let x = 2
(9x^2 + 6x) / 12 x becomes:
36 + 12) / 12 * 2
48/24
2
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in the simplified equation:
let x = 2
(3*2 + 2)/4
(6 + 2)/4
8/4
2
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since both the original equation and the simplified equation yield the same answer, then the simplification is good.
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i think that's you can't go any further than that.
so the simplified form would be:
(3x+2)/4
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