What is ((5/8 x^3+20x^2-14x))/((2x)) ?

The solution to ((5/8 x^3+20x^2-14x))/((2x)) is (5x^2+160x-112)/(16)

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simplify ((5/8 x^3+20x^2-14x))/((2x))

simplify

\frac{( \frac{5}{8} x ^{3} + 20 x ^{2} - 14 x )}{( 2 x )}

\frac{5 x ^{2} + 160 x - 112}{16}

Solution steps

\frac{\frac{5}{8} x ^{3} + 20 x ^{2} - 14 x}{2 x}

Factor

\frac{5 x ^{3}}{8} + 20 x^{2} - 14 x : x (\frac{5 x ^{2}}{8} + 20 x - 14)

= \frac{x ( \frac{5 x ^{2}}{8} + 20 x - 14 )}{2 x}

Cancel the common factor:

x

= \frac{\frac{5 x ^{2}}{8} + 20 x - 14}{2}

Simplify

\frac{\frac{5 x ^{2}}{8} + 20 x - 14}{2} : \frac{5 x ^{2} + 160 x - 112}{16}

= \frac{5 x ^{2} + 160 x - 112}{16}

\frac{30}{80}

\frac{30}{11}

\frac{- 2}{x}

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

\frac{6 d ^{6}}{2 ( d ^{5} ) ^{2}}

What is ((5/8 x^3+20x^2-14x))/((2x)) ?
The solution to ((5/8 x^3+20x^2-14x))/((2x)) is (5x^2+160x-112)/(16)