What is factor 2m^2-5m-3 ?

The solution to factor 2m^2-5m-3 is (2m+1)(m-3)

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factor 2m^2-5m-3

factor

2 m^{2} - 5 m - 3

(2 m + 1) (m - 3)

Solution steps

2 m^{2} - 5 m - 3

Break the expression into groups

= (2 m^{2} + m) + (- 6 m - 3)

Factor out

m

from

2 m^{2} + m : m (2 m + 1)

Factor out

- 3

from

- 6 m - 3 : - 3 (2 m + 1)

= m (2 m + 1) - 3 (2 m + 1)

Factor out common term

2 m + 1

= (2 m + 1) (m - 3)

∣ 2 x - 9 ∣ > 5

- 2 (- 4 x - 3) - 5 x + 3 = - 3

r^{2} - 12 r + 35

∣ x + 4 ∣ \leq ∣ 2 x - 6 ∣

5 x - 10