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

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

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factor 8x^2-2x-3

factor

8 x^{2} - 2 x - 3

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

Solution steps

8 x^{2} - 2 x - 3

Break the expression into groups

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

Factor out

4 x

from

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

Factor out

- 3

from

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

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

Factor out common term

2 x + 1

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

- x^{2} + 7 x = x^{2} - 5 x

9 x^{2} - 6 x + 82 = 0

- 8 x^{5} y^{3} (- 3 x^{3} y^{3})

\frac{10 x - 5 z}{14 x ^{2} + 5 x z - z ^{2}}

\frac{( 2 x ^{2} y ^{2} ) ^{- 3}}{( 2 x ^{2} y ^{2} ) ^{- 4}}