What is factor 9x^2+9x-4 ?

The solution to factor 9x^2+9x-4 is (3x-1)(3x+4)

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factor 9x^2+9x-4

factor

9 x^{2} + 9 x - 4

(3 x - 1) (3 x + 4)

Solution steps

9 x^{2} + 9 x - 4

Break the expression into groups

= (9 x^{2} - 3 x) + (12 x - 4)

Factor out

3 x

from

9 x^{2} - 3 x : 3 x (3 x - 1)

Factor out

4

from

12 x - 4 : 4 (3 x - 1)

= 3 x (3 x - 1) + 4 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (3 x + 4)

x + 7 - \frac{3}{2} x - \frac{x + 3}{3} = \frac{3}{4} (2 x - 5) + 1

21 x^{2} - 37 x + 12

15 x^{2} + 5 x - 50

\frac{50 !}{2 ! 48 !}

4 x - 5 = 7 x + 15