What is longdivision ((2x-5))/((3-4x)) ?

The solution to longdivision ((2x-5))/((3-4x)) is -1/2-7/(2(-4x+3))

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longdivision ((2x-5))/((3-4x))

long division

\frac{( 2 x - 5 )}{( 3 - 4 x )}

- \frac{1}{2} - \frac{7}{2 ( - 4 x + 3 )}

Solution steps

\frac{( 2 x - 5 )}{( 3 - 4 x )}

Divide

\frac{2 x - 5}{- 4 x + 3} : \frac{2 x - 5}{- 4 x + 3} = - \frac{1}{2} + \frac{- \frac{7}{2}}{- 4 x + 3}

= - \frac{1}{2} + \frac{- \frac{7}{2}}{- 4 x + 3}

Simplify

= - \frac{1}{2} - \frac{7}{2 ( - 4 x + 3 )}

\frac{( 5 x + 9 )}{( 3 x - 4 )}

\frac{( x ^{3} + 2 x ^{2} )}{( 3 x ^{2} - 1 )}

\frac{( 3 x ^{2} + 3 x - 20 )}{( x + 3 )}

\frac{( n + 2 )}{( n + 1 )}

\frac{( a + 2 )}{( a - 2 )}

What is longdivision ((2x-5))/((3-4x)) ?
The solution to longdivision ((2x-5))/((3-4x)) is -1/2-7/(2(-4x+3))