What is factor 5x^2-39x-54 ?

The solution to factor 5x^2-39x-54 is (5x+6)(x-9)

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factor 5x^2-39x-54

factor

5 x^{2} - 39 x - 54

(5 x + 6) (x - 9)

Solution steps

5 x^{2} - 39 x - 54

Break the expression into groups

= (5 x^{2} + 6 x) + (- 45 x - 54)

Factor out

x

from

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

Factor out

- 9

from

- 45 x - 54 : - 9 (5 x + 6)

= x (5 x + 6) - 9 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (x - 9)

\frac{36}{- 9}

(- 3 + 3 i)^{2}

6 \cdot \frac{1}{6}

y^{2} - 22 y + 121