What is factor 7x^2-27x-4 ?

The solution to factor 7x^2-27x-4 is (7x+1)(x-4)

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factor 7x^2-27x-4

factor

7 x^{2} - 27 x - 4

(7 x + 1) (x - 4)

Solution steps

7 x^{2} - 27 x - 4

Break the expression into groups

= (7 x^{2} + x) + (- 28 x - 4)

Factor out

x

from

7 x^{2} + x : x (7 x + 1)

Factor out

- 4

from

- 28 x - 4 : - 4 (7 x + 1)

= x (7 x + 1) - 4 (7 x + 1)

Factor out common term

7 x + 1

= (7 x + 1) (x - 4)

372

3 \cdot 1 0^{- 4}

\frac{x + 1}{( 2 - x )} < \frac{x}{( 3 + x )}

\frac{2 x}{x - 2} < 5

2 x^{2} - 3 x - 20 = 0