What is factor 3m^2+7m-6 ?

The solution to factor 3m^2+7m-6 is (3m-2)(m+3)

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factor 3m^2+7m-6

factor

3 m^{2} + 7 m - 6

(3 m - 2) (m + 3)

Solution steps

3 m^{2} + 7 m - 6

Break the expression into groups

= (3 m^{2} - 2 m) + (9 m - 6)

Factor out

m

from

3 m^{2} - 2 m : m (3 m - 2)

Factor out

3

from

9 m - 6 : 3 (3 m - 2)

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

Factor out common term

3 m - 2

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

(x^{2} + 1)^{2} > 0

∣ 3 x ∣ < 24

3 y^{2} = 54

3 x + 59 > 104

7 x + 9 = - 75