What is factor 9x^2+9x-40 ?

The solution to factor 9x^2+9x-40 is (3x-5)(3x+8)

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factor 9x^2+9x-40

factor

9 x^{2} + 9 x - 40

(3 x - 5) (3 x + 8)

Solution steps

9 x^{2} + 9 x - 40

Break the expression into groups

= (9 x^{2} - 15 x) + (24 x - 40)

Factor out

3 x

from

9 x^{2} - 15 x : 3 x (3 x - 5)

Factor out

8

from

24 x - 40 : 8 (3 x - 5)

= 3 x (3 x - 5) + 8 (3 x - 5)

Factor out common term

3 x - 5

= (3 x - 5) (3 x + 8)

3 x^{2} + 2 = - x

8 x^{2} - 6 x - 2 = 4

x^{2} - 2 x - 8

lo g_{\frac{1}{3}} (p) < 0

x + 1 = 7