In Exercises 67–70, find all values of x such that y = 0.

y = 2[...

Question

In Exercises 67–70, find all values of x such that y = 0.

y = 2[3x - (4x - 6)] - 5(x - 6)

Accepted Answer

So this problem tells us the five values of X. Such that it satisfies Y equals zero. So if you look at this I'm gonna set our white with zero in our equation. Let's say we replace that Y with 00 equals nine times 2 x -1 - minus two X minus six. So my first thing I'm gonna do is I'm gonna distribute that nine to both of our terms. That would be kind of get rid of that bracket there. So we distribute nine to R. Two X nine to our x minus one. If we do that we will now have zero Equals nine times 2 x. And then we have a -9 times X -1. And of course over here we can also distribute our two X and R six. So we have negative two X plus 12. Now you can just ship it further nine times two X. Is 18 x. Here we have a negative nine times an X. Is negative nine X negative nine times one is positive nine. And we bring down our -2 x. and our positive 12 simplified. And farther you have 18 x minus nine x minus two X. That is 18 minus nine which is nine minus 27 X. You also have nine push 12. That is going to be 21 plus 21. So now we want to find experts. So I'm gonna go ahead and subtract 21 from both sides to get that -21 -21 which ends up with negative 21 equals seven X. Finally we divide both sides by seven to get rid Of the seven on the X. That is us With 93 equals x. It means that the answer to our problem is answer be x equals -3. Okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

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