What is 8/x+1/((9-7x)) ?

The solution to 8/x+1/((9-7x)) is (-55x+72)/(x(-7x+9))

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simplify 8/x+1/((9-7x))

simplify

\frac{8}{x} + \frac{1}{( 9 - 7 x )}

\frac{- 55 x + 72}{x ( - 7 x + 9 )}

Solution steps

\frac{8}{x} + \frac{1}{9 - 7 x}

Least Common Multiplier of

x, 9 - 7 x : x (- 7 x + 9)

Adjust Fractions based on the LCM

= \frac{8 ( - 7 x + 9 )}{x ( - 7 x + 9 )} + \frac{x}{x ( - 7 x + 9 )}

Apply the fraction rule:

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

= \frac{8 ( - 7 x + 9 ) + x}{x ( - 7 x + 9 )}

Simplify

8 (- 7 x + 9) + x : - 55 x + 72

= \frac{- 55 x + 72}{x ( - 7 x + 9 )}

a^{5} b - 64 ab

\frac{x ^{2} - 17 x + 70}{x ^{2} - 18 x + 80}

\frac{2 7}{10}

\frac{3}{4} \times 40