It's been a loooong time since I've worked on math and I am stuck trying to solve an equation from my algebra class.

Directions read, "Solve the equation:"

t / t - 10 = t + 10 / 15

I determined the LCD to be 15(t-10).

Clearing fractions by multiplying both sides of the equation by the LCD, I get:

15(t-10) {t / t - 10} = 15(t-10) {t+10 / 15}, which equals 15t = t^2 - 100.

This is the part where I get confused, regarding changing of signs as a result of writing the equation in standard form. I got this far because I already know the answer:

So if 15t = t^2 - 100, to rewrite in standard form I am instructed to translate the equation to:

t^2 - 15t - 100 = 0.Where does the negative sign between t^2 & 15t come into play?

Factored equation is (t+5) (t-20) = 0.

On a side note, is there a way to write fractions or degrees when posting other than using ' / ' or ^ ?