The problem can be expressed as follows:
20x^2 = 20x
where x is a nonzero number.
To solve for x, we can simplify the equation by dividing both sides by 20:
x^2 = x/1
Now, we can solve for x by subtracting x/1 from both sides of the equation:
x^2 - x/1 = 0
Next, we can factor out x to get:
x(x - 1/1) = 0
This equation can be satisfied if either x = 0 or x - 1 = 0. However, x cannot be equal to 0 since the problem states that x is a nonzero number. Therefore, the only solution is:
x = 1
So, the nonzero number is 1.