What is factor 5x^2-6x-8 ?

The solution to factor 5x^2-6x-8 is (5x+4)(x-2)

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factor 5x^2-6x-8

factor

5 x^{2} - 6 x - 8

(5 x + 4) (x - 2)

Solution steps

5 x^{2} - 6 x - 8

Break the expression into groups

= (5 x^{2} + 4 x) + (- 10 x - 8)

Factor out

x

from

5 x^{2} + 4 x : x (5 x + 4)

Factor out

- 2

from

- 10 x - 8 : - 2 (5 x + 4)

= x (5 x + 4) - 2 (5 x + 4)

Factor out common term

5 x + 4

= (5 x + 4) (x - 2)

3 x^{2} - 7 x + 4

4 x^{2} + 3 x - 6 = 0

(2 x + 3)^{2} + 25 = 0

(\frac{1}{4})^{1}

- 5 x + 12 = - 12 x - 12