What is factor-5v^2-28v-15 ?

The solution to factor-5v^2-28v-15 is -(5v+3)(v+5)

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factor-5v^2-28v-15

factor

- 5 v^{2} - 28 v - 15

- (5 v + 3) (v + 5)

Solution steps

- 5 v^{2} - 28 v - 15

Break the expression into groups

= (- 5 v^{2} - 3 v) + (- 25 v - 15)

Factor out

- v

from

- 5 v^{2} - 3 v : - v (5 v + 3)

Factor out

- 5

from

- 25 v - 15 : - 5 (5 v + 3)

= - v (5 v + 3) - 5 (5 v + 3)

Factor out common term

5 v + 3

= (5 v + 3) (- v - 5)

Factor

- v - 5 : - (v + 5)

= (5 v + 3) (- (v + 5))

Apply rule:

a (- b) = - ab

(5 v + 3) (- (v + 5)) = - (5 v + 3) (v + 5)

= - (5 v + 3) (v + 5)

\frac{2}{3} x - 5 > 3

x^{2} - x - 18 = - 4 x

9 - ∣ 2 x - 1 ∣ \geq 5

x^{4} - 9 x^{2} - 3 x^{3} + 27 x - 10 x^{2} + 90

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