6+7x-1/4=0

To solve the equation \(6 + 7x - \frac{1}{4} = 0\), we'll first eliminate the fraction by multiplying the entire equation by 4:

\[ 4(6) + 4(7x) - 4\left(\frac{1}{4}\right) = 0 \]

This simplifies to:

\[ 24 + 28x - 1 = 0 \]

Next, combine the constant terms:

\[ 23 + 28x = 0 \]

Now, isolate \(x\) by moving 23 to the other side of the equation:

\[ 28x = -23 \]

Now, divide both sides by 28 to solve for \(x\):

\[ x = -\frac{23}{28} \]

Thus, the solution to the equation is:

\[ x = -\frac{23}{28} \]