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)

\frac{x - 6}{4} = \frac{x - 2}{2}

x^{2} + 28 = 16 x

7 n^{2} - 6 n - 1 = 0

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

5 x^{2} = 1