Hello!
The value that will cause the denominator to be zero is found by using the zero product property.
To find that, we will need to make the denominator equal to zero, and solve for x.
5x + 1 = 0 (subtract both sides by 1)
5x = -1 (divide both sides by 5)
x = -1/5
Therefore, the value that will cause the denominator of 8x - 2 / 5x - 1 to be equal to zero, is -1/5.