Hello, foreverbrokenpromises!

Here's the last one . . .

I am thinking of three numbers that are squares of consecutive integers.

Twice the smallest number minus three times the middle one plus four times the largest totals 230.

What are my three numbers?

Let the squares be: .

. .

We have: .

Expand: .

Simplify: .

Factor: .

. . which has the integer solution: .

Hence, the three consecutive integers are: .

Therefore, the three squares are: .