What is factor 6p^2-17p-45 ?

The solution to factor 6p^2-17p-45 is (3p+5)(2p-9)

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factor 6p^2-17p-45

factor

6 p^{2} - 17 p - 45

(3 p + 5) (2 p - 9)

Solution steps

6 p^{2} - 17 p - 45

Break the expression into groups

= (6 p^{2} + 10 p) + (- 27 p - 45)

Factor out

2 p

from

6 p^{2} + 10 p : 2 p (3 p + 5)

Factor out

- 9

from

- 27 p - 45 : - 9 (3 p + 5)

= 2 p (3 p + 5) - 9 (3 p + 5)

Factor out common term

3 p + 5

= (3 p + 5) (2 p - 9)

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

- \frac{5}{6} x = 10

x^{2} + 8 x = 240

- 5 k + 10 = - 2 k - 14

- 4 x - 19 = x^{2}