What is factor 20n^2-7n-40 ?

The solution to factor 20n^2-7n-40 is (4n+5)(5n-8)

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factor 20n^2-7n-40

factor

20 n^{2} - 7 n - 40

(4 n + 5) (5 n - 8)

Solution steps

20 n^{2} - 7 n - 40

Break the expression into groups

= (20 n^{2} + 25 n) + (- 32 n - 40)

Factor out

5 n

from

20 n^{2} + 25 n : 5 n (4 n + 5)

Factor out

- 8

from

- 32 n - 40 : - 8 (4 n + 5)

= 5 n (4 n + 5) - 8 (4 n + 5)

Factor out common term

4 n + 5

= (4 n + 5) (5 n - 8)

- \frac{4}{2}

(a - 6) (a + 9)

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

\frac{144}{100}

(1 + 3 i) - (4 - 6 i)