What is factor-2x^2-7x-3 ?

The solution to factor-2x^2-7x-3 is -(2x+1)(x+3)

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factor-2x^2-7x-3

factor

- 2 x^{2} - 7 x - 3

- (2 x + 1) (x + 3)

Solution steps

- 2 x^{2} - 7 x - 3

Break the expression into groups

= (- 2 x^{2} - x) + (- 6 x - 3)

Factor out

- x

from

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

Factor out

- 3

from

- 6 x - 3 : - 3 (2 x + 1)

= - x (2 x + 1) - 3 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (- x - 3)

Factor

- x - 3 : - (x + 3)

= (2 x + 1) (- (x + 3))

Apply rule:

a (- b) = - ab

(2 x + 1) (- (x + 3)) = - (2 x + 1) (x + 3)

= - (2 x + 1) (x + 3)

7 - \frac{x}{10} \geq 12

\frac{1}{( \frac{3}{2} )}

\frac{x + 7}{x - 3} < 0

3 (x + 2)^{2} = 36

\frac{2}{3} (25)^{\frac{3}{2}}