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