Wait… am I doing this wrong?

Ajouté : 2026-05-17

[00:00:00]Don't cross multiply here. Just multiply every term by the lowest common denominator, and the fraction disappears instantly.

[00:00:08]The lowest common denominator here is x, so we multiply everything by x.

[00:00:13]Now, what end up with we end up with 3x squared minus and the x's would cancel here from top and bottom, and we end up with two equals x.

[00:00:24]Now, move everything to one side equate it to zero, and you'll get 3x squared minus x minus two equals zero. Now, we're going to use a trick to factor this. So, what I'm going to do I'm going to multiply the three into the negative two, and I will get x squared minus x minus six equals zero.

[00:00:48]Going to factor this, I will get x minus three x plus two equals zero. Now, I'm going to divide everything by the three that I multiplied into the two, so there you go, and we'll have x minus one.

[00:01:04]And since the other one doesn't factor, I'm just going to stick the three in front of the x, so we have 3x minus two or plus two, sorry, equals zero. Now, either x minus one equals zero, and that will give me x equals one, and the other solution is 3x plus two equals zero, and then we move that two to the other side, we get 3x equals negative two, divide both sides by three, and you'll get x equals negative 2/3, and this is my final answer x equals one and x equals negative 2/3.