What is x/(x+5)+(7x+10)/(x^2+5x) ?

The solution to x/(x+5)+(7x+10)/(x^2+5x) is (x+2)/x

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simplify x/(x+5)+(7x+10)/(x^2+5x)

simplify

\frac{x}{x + 5} + \frac{7 x + 10}{x ^{2} + 5 x}

\frac{x + 2}{x}

Solution steps

\frac{x}{x + 5} + \frac{7 x + 10}{x ^{2} + 5 x}

Least Common Multiplier of

x + 5, x^{2} + 5 x : x (x + 5)

Adjust Fractions based on the LCM

= \frac{x ^{2}}{x ( x + 5 )} + \frac{7 x + 10}{x ( x + 5 )}

Apply the fraction rule:

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

= \frac{x ^{2} + 7 x + 10}{x ( x + 5 )}

Cancel

\frac{x ^{2} + 7 x + 10}{x ( x + 5 )} : \frac{x + 2}{x}

= \frac{x + 2}{x}

(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)

0.25 b - 0.4 b + 0.2 b

(3 - 2 x)^{5}

0.3 a + 0.4 b + 0.5 c - 0.6 a - 0.7 b - 0.9 c + 3 a - 3 b - 3 c

What is x/(x+5)+(7x+10)/(x^2+5x) ?
The solution to x/(x+5)+(7x+10)/(x^2+5x) is (x+2)/x