What is factor 7x^2-5x-2 ?

The solution to factor 7x^2-5x-2 is (7x+2)(x-1)

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factor 7x^2-5x-2

factor

7 x^{2} - 5 x - 2

(7 x + 2) (x - 1)

Solution steps

7 x^{2} - 5 x - 2

Break the expression into groups

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

Factor out

x

from

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

Factor out

- 1

from

- 7 x - 2 : - (7 x + 2)

= x (7 x + 2) - (7 x + 2)

Factor out common term

(7 x + 2) : (7 x + 2) (x - 1)

= (7 x + 2) (x - 1)

\frac{27}{2} \cdot 78400

3 x - 9 = 12

\frac{x ^{2}}{x + 2} < \frac{12 - x}{x + 2}

6 x^{2} + 90 x + 324

(\frac{x}{40}) + 25% x = 500