What is factor 6x^2-17x-45 ?

The solution to factor 6x^2-17x-45 is (3x+5)(2x-9)

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factor 6x^2-17x-45

factor

6 x^{2} - 17 x - 45

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

Solution steps

6 x^{2} - 17 x - 45

Break the expression into groups

= (6 x^{2} + 10 x) + (- 27 x - 45)

Factor out

2 x

from

6 x^{2} + 10 x : 2 x (3 x + 5)

Factor out

- 9

from

- 27 x - 45 : - 9 (3 x + 5)

= 2 x (3 x + 5) - 9 (3 x + 5)

Factor out common term

3 x + 5

= (3 x + 5) (2 x - 9)

\frac{2}{3} \cdot \frac{3}{10}

4 \cdot 23

4 \cdot 33

\frac{5}{6} \div \frac{1}{4}

\frac{5}{6} \div \frac{1}{6}