What is ((4x^2+10x))/((2x)) ?

The solution to ((4x^2+10x))/((2x)) is 2x+5

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simplify ((4x^2+10x))/((2x))

simplify

\frac{( 4 x ^{2} + 10 x )}{( 2 x )}

2 x + 5

Solution steps

\frac{4 x ^{2} + 10 x}{2 x}

Factor

4 x^{2} + 10 x : 2 x (2 x + 5)

= \frac{2 x ( 2 x + 5 )}{2 x}

Cancel the common factor:

2

= \frac{x ( 2 x + 5 )}{x}

Cancel the common factor:

x

= 2 x + 5

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