What is (3x)/(2x-6)+9/(6-2x) ?

The solution to (3x)/(2x-6)+9/(6-2x) is 3/2

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simplify (3x)/(2x-6)+9/(6-2x)

simplify

\frac{3 x}{2 x - 6} + \frac{9}{6 - 2 x}

\frac{3}{2}

Solution steps

\frac{3 x}{2 x - 6} + \frac{9}{6 - 2 x}

Least Common Multiplier of

2 x - 6, 6 - 2 x : 2 (x - 3)

Adjust Fractions based on the LCM

= \frac{3 x}{2 ( x - 3 )} + \frac{- 9}{2 ( x - 3 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{3 x - 9}{2 ( x - 3 )}

Cancel

\frac{3 x - 9}{2 ( x - 3 )} : \frac{3}{2}

= \frac{3}{2}

- x^{3} + x

8 q^{4} t + 2 q^{3} t^{2} - 6 q^{2} t^{4}

lo g_{5} (255)

\frac{1}{4} \div \frac{1}{4}

(x + 2) (3 x - 1)