What is factor 2t^2-3t-14 ?

The solution to factor 2t^2-3t-14 is (t+2)(2t-7)

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factor 2t^2-3t-14

factor

2 t^{2} - 3 t - 14

(t + 2) (2 t - 7)

Solution steps

2 t^{2} - 3 t - 14

Break the expression into groups

= (2 t^{2} + 4 t) + (- 7 t - 14)

Factor out

2 t

from

2 t^{2} + 4 t : 2 t (t + 2)

Factor out

- 7

from

- 7 t - 14 : - 7 (t + 2)

= 2 t (t + 2) - 7 (t + 2)

Factor out common term

t + 2

= (t + 2) (2 t - 7)

- 9 + 3 c = 5 c + 7

x^{2} - 6 x + 16 = 0

2 y^{2} + 10 y = - 11

16 x^{2} - 1 = 0

7 + 4 (2 a + 15) = - 13