Factor: 8x^2 + 6x + 1.

Answer: x = - 1/2 and - 1/4

Step-by-step explanation:

To factorize the equation,

8x²+6x+1

We will split 6x with using common factor of 8 (product of the constant (1) and the coefficient x² (8))

The common factor of 8 to use will be 4 and 2

The equation will become

8x² + (2x+4x) + 1 = 0

(8x²+2x) + (4x+1) = 0

2x (4x+1) + 1 (4x+1) = 0

(2x+1) (4x+1) = 0

2x+1 = 0 ... 1

4x+1 = 0 ... 2

From eqn 1

2x = - 1

x = - 1/2

From

4x = - 1

x = - 1/4

x = - 1/2 and - 1/4