What is (-3x)/(2x^2-8x) ?

The solution to (-3x)/(2x^2-8x) is -3/(2(x-4))

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simplify (-3x)/(2x^2-8x)

simplify

\frac{- 3 x}{2 x ^{2} - 8 x}

- \frac{3}{2 ( x - 4 )}

Solution steps

\frac{- 3 x}{2 x ^{2} - 8 x}

Factor

2 x^{2} - 8 x : 2 x (x - 4)

= \frac{- 3 x}{2 x ( x - 4 )}

Cancel the common factor:

x

= \frac{- 3}{2 ( x - 4 )}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{3}{2 ( x - 4 )}

\frac{2 - i}{5 i}

n^{2} + 28 n - 29

- 12 5^{\frac{2}{3}}

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

\frac{320}{10}