What is factor 20x^2-3x-9 ?

The solution to factor 20x^2-3x-9 is (5x+3)(4x-3)

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factor 20x^2-3x-9

factor

20 x^{2} - 3 x - 9

(5 x + 3) (4 x - 3)

Solution steps

20 x^{2} - 3 x - 9

Break the expression into groups

= (20 x^{2} + 12 x) + (- 15 x - 9)

Factor out

4 x

from

20 x^{2} + 12 x : 4 x (5 x + 3)

Factor out

- 3

from

- 15 x - 9 : - 3 (5 x + 3)

= 4 x (5 x + 3) - 3 (5 x + 3)

Factor out common term

5 x + 3

= (5 x + 3) (4 x - 3)

\frac{x + 2}{3} = 5

\frac{35}{7}

\frac{2}{2 x - 3} + \frac{x}{8 x ^{2} - 10 x - 3}

- \frac{16}{8}

\frac{22 x y - 15 x ^{2} - 8 y ^{2}}{2 y - 3 x}