Easiest Way To Solve an Absolute Value Equation and Determine when Only One Solution

Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value term and then separate the equation into two cases: the positive case and the negative case. After which we solve the equation accordingly.

It is very important to substitute the result obtained into the original equation to make sure that each of the solutions satisfy the original equation. Any solution that satisfies the original equation is called a valid solution while any solution that does not satisfy the original equation is called an extraneous solution.

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[bacmoe]

There is some thing not right which is 5x-3x =8x???

[lancevancetorres]

*5x-3x=2x but I only caught that because I've been using your videos so much! Thanks for all the great lessons!

[osibosi]

This is the BEST Math channel on Youtube. Hands down! Thank you so much for your videos ;D

[tienganhvacuocsong]

Yeah! I got the same question like you (Bac Moe) and I had to check many times why my answer was not as same as our guider. Now, I understand, but I still love him. His lectures are always awesome, simple, and easy to understand.

[herbcruz]

The extraneous root should be x=-(3/2), not -(3/8).

[JustStudentt]

Ommggg uu areee soo sososososo much amazing ur the most beautiful teacher ever
U are the best teacher I've ever seen in my entire life!! 🤍💖😭💕💞💘✨💖💗💘😭💖💖✨ Keep doing math meister genius 🥺🥺💕🦋

[paigejordyn]

Brian is basically my teacher. my teacher in my school goes way to fast and i dont understand what she teaches. when i learn anything that i dont understand i come to Brian and he explains it wonderfully. thank you Brain!!!

[keno]

Could you take down this video because you have an error? Could you record a corrected version?

[CanoManuelGonzaga]

When you plugged in the value of x in your final equation, you basically wrote 2 |2x - 7| = ... rather than 2 |3x - 7| = ....

[elida]

I my answer was right i thought it was wrong 5x-3x=2x not 8x

[xdiiwgk]

what the hell?? why 5-3=8, you r genius right?
but though, thanks for your teaching ^^