What is factor-3v^2-14v-15 ?

The solution to factor-3v^2-14v-15 is -(3v+5)(v+3)

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factor-3v^2-14v-15

factor

- 3 v^{2} - 14 v - 15

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

Solution steps

- 3 v^{2} - 14 v - 15

Break the expression into groups

= (- 3 v^{2} - 5 v) + (- 9 v - 15)

Factor out

- v

from

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

Factor out

- 3

from

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

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

Factor out common term

3 v + 5

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

Factor

- v - 3 : - (v + 3)

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

Apply rule:

a (- b) = - ab

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

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

(2 x + 3)^{2} - 4 (2 x + 3) - 12 = 0

3 x + 1 > 34 - 4 x

30 + 4 x = 12 x

x^{3} + 2 x^{2} - 24 x

\frac{3}{4} - \frac{1}{8}