How would you put this in an equation and simplify it?

Let x = prefix and y = last 4

(250(80x+1)+2y-250)/2

(20000x + 250 + 2y - 250) / 2 carry out first order of multiplication

(20000x + 2y) / 2 combine like terms

10000x + y complete indicated division

1. Equation = 234

2. Equation = 234 * 80 = 18720

3. Equation = (234 * 80) + 1 = 18721

4. Equation = ((234 * 80) + 1) * 250 = 4680250

5. Equation = ((234 * 80) + 1) * 250 + 5678 =4685928

6. Equation = ((234 * 80) + 1) * 250 + 5678 + 5678 = 4691606

7. Equation = ((234 * 80) + 1) * 250 + 5678 + 5678 - 250 = 4691356

8. Equation = (((234 * 80) + 1) * 250 + 5678 + 5678 - 250)/2 = 2345678

2345678

((234*80+1)*250+5678+5678-250)/2

or ((234*80+1)*250+2*5678-250)/2

(instead of adding the last 4 twice, just multiply by 2

this simplifies to your original phone number, no matter what that number is.

Let a = first three digits and b = last 4 digits, then

answer = ((a*80+1)*250+2*b -250)/2 = 10000a +b.

So, your telephone number 234-5678 becomes 2345678.

z = (250 * (80x + 1) + 2y - 250) / 2

z = (20000x + 250 + 2y - 250) / 2

z = (20000x + 2y) / 2

z = 10000x + y

x is the first 3 digits, y is the last 4.

Therefore, the solution just shifts the first 3 digits over 4 places and adds the last 4 digits, to get the phone number.

(((X)(80)+1)(250) + Y + Y -250)/2

(20000X+250+2Y-250)/2

(10000)(X)+Y

if X = 234 and Y = 5678

2340000+5678=2345678

((250 * (80 * (100a + 10b + c) + 1)) + (2000d + 200e + 20f + 2g) - 250) / 2

((250 * (8000a + 800b + 80c + 1)) + (2000d + 200e + 20f + 2g) - 250) / 2

(2000000a + 200000b + 20000c + 250) + (2000d + 200e + 20f + 2g) - 250) / 2

(2000000a + 200000b + 20000c + 2000d + 200e + 20f + 2g)/ 2

1000000a + 100000b + 10000c + 1000d + 100e + 10f + g

The answer is your phone number.

This helps because the bottom part of the equation 9y^2 - 4 into (3y-2) (3y+2), and therefore you can cancel out the (3y+2) on the top with the (3y+2) on the bottom. Your final answer will then be: (2y-3) / (3y-2). Hope this helps!!

[{[[(237)(80) +1](250)] +5678(2)}-250]/2=2,345,678

234-5678