What is factor 9x^2+9x-10 ?

The solution to factor 9x^2+9x-10 is (3x-2)(3x+5)

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factor 9x^2+9x-10

factor

9 x^{2} + 9 x - 10

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

Solution steps

9 x^{2} + 9 x - 10

Break the expression into groups

= (9 x^{2} - 6 x) + (15 x - 10)

Factor out

3 x

from

9 x^{2} - 6 x : 3 x (3 x - 2)

Factor out

5

from

15 x - 10 : 5 (3 x - 2)

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

Factor out common term

3 x - 2

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

\frac{15}{2} + 6

6 x^{2} + 4 x - 8 = 0

- \frac{1}{16} x^{2} + 6 x + 3 = 0

x^{2} + 8 x - 55 = 10

4 z^{2} - 8 z + 5 = 2