I'm trying to solve a quadratic equation with multiple fractions, I haven't been able to find anything similar to this online. I need this broken down step by step especially when eliminating the fractions. Bonus points if you can point to a direct resource with practice problems or tutorials with similar problems as I need to solve numerous equations like this one.
$$\frac{3}{x-1} - \frac{x}{2x-2} = -1$$
Can you help me?
Jackson, Both of those denominators are going to be your LCD. The way I like to do these is very long hand--but it works and I haven't really found a simpler way to do it. You're going to multiply each term by the LCD on both sides of the equation.
(x-1)(2x-2) is going to be the LCD
Again, this is really, really long hand.
(x-1)(2x-2)/1 * 3/x-1 - x/2x-2 * (x-1)(2x-2)/1 = -1 * (x-1)(2x-2)/1
After putting the LCD in fraction form, the matching parts in the numerators and denominators will cancel out, you will then multiply the remaining parts of the denominator and solve as needed. I hope this helps.