What is (9x)/(36x^2-180x) ?

The solution to (9x)/(36x^2-180x) is 1/(4(x-5))

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simplify (9x)/(36x^2-180x)

simplify

\frac{9 x}{36 x ^{2} - 180 x}

\frac{1}{4 ( x - 5 )}

Solution steps

\frac{9 x}{36 x ^{2} - 180 x}

Factor

36 x^{2} - 180 x : 36 x (x - 5)

= \frac{9 x}{36 x ( x - 5 )}

Cancel the common factor:

x

= \frac{9}{36 ( x - 5 )}

Cancel the numbers:

\frac{9}{36} = \frac{1}{4}

= \frac{1}{4 ( x - 5 )}

25 \cdot 1030

144 x^{2} - 121

+ (\frac{\frac{1}{16}}{2})^{2}

6 \times 14