What is factor 9x^2-13x-10 ?

The solution to factor 9x^2-13x-10 is (9x+5)(x-2)

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factor 9x^2-13x-10

factor

9 x^{2} - 13 x - 10

(9 x + 5) (x - 2)

Solution steps

9 x^{2} - 13 x - 10

Break the expression into groups

= (9 x^{2} + 5 x) + (- 18 x - 10)

Factor out

x

from

9 x^{2} + 5 x : x (9 x + 5)

Factor out

- 2

from

- 18 x - 10 : - 2 (9 x + 5)

= x (9 x + 5) - 2 (9 x + 5)

Factor out common term

9 x + 5

= (9 x + 5) (x - 2)

\frac{1 - \frac{y}{x}}{\frac{1}{y} + \frac{1}{x}}

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

1 - x^{2} + 6 x - 9

x^{2} - 2 \leq 0

9 x^{2} = 4 x + 2