What is factor 8c^2-2c-3 ?

The solution to factor 8c^2-2c-3 is (2c+1)(4c-3)

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factor 8c^2-2c-3

factor

8 c^{2} - 2 c - 3

(2 c + 1) (4 c - 3)

Solution steps

8 c^{2} - 2 c - 3

Break the expression into groups

= (8 c^{2} + 4 c) + (- 6 c - 3)

Factor out

4 c

from

8 c^{2} + 4 c : 4 c (2 c + 1)

Factor out

- 3

from

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

= 4 c (2 c + 1) - 3 (2 c + 1)

Factor out common term

2 c + 1

= (2 c + 1) (4 c - 3)

10 x^{2} - 20 x = 0

3 3^{2}

∣ x + 5 ∣ < 1

(x - 3) (x - 9) = 0

4 x^{2} + 3 x - 2 = 0