What is (-7n^2)/(-14n^2-35n) ?

The solution to (-7n^2)/(-14n^2-35n) is n/(2n+5)

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simplify (-7n^2)/(-14n^2-35n)

simplify

\frac{- 7 n ^{2}}{- 14 n ^{2} - 35 n}

\frac{n}{2 n + 5}

Solution steps

\frac{- 7 n ^{2}}{- 14 n ^{2} - 35 n}

Factor

- 14 n^{2} - 35 n : - (14 n^{2} + 35 n)

= \frac{- 7 n ^{2}}{- ( 14 n ^{2} + 35 n )}

Apply the fraction rule:

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

= \frac{7 n ^{2}}{14 n ^{2} + 35 n}

Factor

14 n^{2} + 35 n : 7 n (2 n + 5)

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

Cancel the common factor:

7

= \frac{n ^{2}}{n ( 2 n + 5 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

n^{2} = nn

= \frac{nn}{n ( 2 n + 5 )}

Cancel the common factor:

n

= \frac{n}{2 n + 5}

\frac{3}{8} x - \frac{1}{5} x + 10 = \frac{3}{10} x

6 x + 3 = 21

3 \cdot \frac{8}{3}

4 (x - 5)^{2} - 2 = 26