What is factor 3x^2+25x-18 ?

The solution to factor 3x^2+25x-18 is (3x-2)(x+9)

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factor 3x^2+25x-18

factor

3 x^{2} + 25 x - 18

(3 x - 2) (x + 9)

Solution steps

3 x^{2} + 25 x - 18

Break the expression into groups

= (3 x^{2} - 2 x) + (27 x - 18)

Factor out

x

from

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

Factor out

9

from

27 x - 18 : 9 (3 x - 2)

= x (3 x - 2) + 9 (3 x - 2)

Factor out common term

3 x - 2

= (3 x - 2) (x + 9)

\frac{2}{3} - \frac{1}{4} + \frac{1}{12}

3 x + 2 x + 9 = 10 - 14

6 - (- 3)

(x - 1) (2 x - 3) = x

10 x - 1 = 14 x - 37