What is factor 2m^2-7m-72 ?

The solution to factor 2m^2-7m-72 is (2m+9)(m-8)

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factor 2m^2-7m-72

factor

2 m^{2} - 7 m - 72

(2 m + 9) (m - 8)

Solution steps

2 m^{2} - 7 m - 72

Break the expression into groups

= (2 m^{2} + 9 m) + (- 16 m - 72)

Factor out

m

from

2 m^{2} + 9 m : m (2 m + 9)

Factor out

- 8

from

- 16 m - 72 : - 8 (2 m + 9)

= m (2 m + 9) - 8 (2 m + 9)

Factor out common term

2 m + 9

= (2 m + 9) (m - 8)

3 x^{2} - 23 = - 11 x - 4 x^{2}

12 5^{- \frac{3}{4}} \cdot 5^{- \frac{3}{4}}

∣ x + 2 ∣ \geq ∣ 2 x - 1 ∣

2 p + 9 = 27

30 = - 5 (6 n + 6)