Find the values of x that make the following equation equal zero:

`\left(16x-4\right)\left(7+x\right)=0`

Put your answers in the answer box below.

To find the values of x that make the equation equal zero, set each individual factor equal to zero and solve for x.

Setting the first factor equal to zero:

16x - 4 = 0
16x = 4
x = 4/16
x = 1/4

Setting the second factor equal to zero:

7 + x = 0
x = -7

Therefore, the values of x that make the equation equal zero are x = 1/4 and x = -7.