Solving an Absolute Value Equation with no Solution - Free Math Videos

Learn how to solve absolute value equations with multiple steps. 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 equation where there are more terms apart from the absolute value term in the same side of the equality sign as the absolute value term, we first isolate the absolute value term. i.e. make the absolute value term the subject of the formular.

After isolating the absolute value term, we now separate the equation into the positive and the negative cases and then solve accordingly.

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[brianmclogan]

yes thank you for making the point! I don't always hit everything

[abigails]

He is so good at explaining things tho

[clirvyanc]

my final is tomorrow thank you so much for this <3

[luaniashes]

I know this was ten years ago but I have a test on Friday and this was so helpful! Thank you so much for making this video I can finally go to sleep now 😅

[PaulusMathew]

Why did you use -9? Is it possible if I use positive 9 instead of -9?

[musicalwayshere]

Good lesson, only one thing about the end. If x is less than 0 than the absolute value of x is -x, to turn it positive. |-1| = -(-1) I'm sure you already know this though :p

[theophonchana]

abs (-5 - 4x) + 9 = -40
x = undefined

[SusannaAgyeiwaa]

So it means that an absolute value must always equall to a positive number before u can solve.

[qianqian]

Would it be possible for there to be a complex solution to problems where an absolute value equals a negative?

[micozaki]

Just a quick question, if "9" from the question was negative, do you have to add 9 to both sides or will it always be subtraction?

[iSmartyPants]

How would I solve 6|2x+5|= 6x+24? I got it down to the two equations with 3x+5=4 and that equaled to be a negative one so I'm confused but when I did the other equation, I got negative three. And there can't be two negatives so I don't know what I'm doing wrong

[nkosingphiledlamini]

please help.is there a solution for this |-1-x|=-2