What is (-6/y+2/x)/(5x) ?

The solution to (-6/y+2/x)/(5x) is (-6x+2y)/(5yx^2)

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simplify (-6/y+2/x)/(5x)

simplify

\frac{- \frac{6}{y} + \frac{2}{x}}{5 x}

\frac{- 6 x + 2 y}{5 y x ^{2}}

Solution steps

\frac{- \frac{6}{y} + \frac{2}{x}}{5 x}

Join

- \frac{6}{y} + \frac{2}{x} : \frac{- 6 x + 2 y}{y x}

= \frac{\frac{- 6 x + 2 y}{y x}}{5 x}

Apply the fraction rule:

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

= \frac{- 6 x + 2 y}{y x \cdot 5 x}

Simplify

y x \cdot 5 x : 5 y x^{2}

= \frac{- 6 x + 2 y}{5 y x ^{2}}

∣ 2 x - 1 ∣ - ∣ x + 5 ∣ = 3

\frac{3 x ^{2} y}{6 x y ^{2}}

3 a + 6 b

\frac{( \frac{1}{2} )}{3}

\frac{1 - 2 x}{3} - \frac{1}{3} < 2 - \frac{2 x}{3} < - \frac{x - 1}{3}