49x/2 - 14x + 1 = 0

To solve the equation 49x/2 - 14x + 1 = 0, we can first simplify it by multiplying each term by 2 to remove the fraction:

2 * (49x/2) - 2 * (14x) + 2 * (1) = 0

This gives us:

49x - 28x + 2 = 0

Combining like terms:

21x + 2 = 0

To isolate x, we can subtract 2 from both sides:

21x = -2

Finally, we solve for x by dividing both sides by 21:

x = -2/21

Therefore, the solution to the equation is x = -2/21.