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.
Subscribe: www.youtube.co...
Website: www.freemathvid...
Learn from Udemy: www.udemy.com/...
Follow us on
Facebook: / freemathvideos
Twitter / mrbrianmclogan
#absolutevalue #solveabsequations

[@abigails5360]

He is so good at explaining things tho

[@brianmclogan]

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

[@brianmclogan]

happy to help

[@cl4irv0yanc3]

my final is tomorrow thank you so much for this

[@luaniashes3381]

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 😅

[@SusannaAgyeiwaa]

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

[@musicalwayshere4]

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

[@redreaperop1631]

Hey! How would we solve this then? Is there a solution to this? | -3 +5x | = -25

[@Fatima-db8yd]

@@redreaperop1631 theres no solution because absolute value cant be negative, its always a positive number or zero!

[@kostabouboukas8197]

thank you so much

[@brunobrett9618]

Thanks!

[@brianmclogan]

you are very welcome!

[@theophonchana5025]

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

[@samuelgebrehiwet1226]

Thanks-a-lot!

[@brianmclogan]

you are very welcome!

[@qianqian07]

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

[@farrankhawaja9856]

No. If you talk the absolute value of an imaginary number the real part becomes positive so no matter what you do you never get a negative number.

[@mohammedelsayed4069]

thank you

[@brianmclogan]

you are very welcome! happy to be able to help you out

[@ganda3454]

-5-4x=-49 -4x=-44 x=11

[@iSmartyPants1]

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

[@brianmclogan]

iSmartyPants1 your two equations should be 2x+5=x+4 and 2x+5 = -x-4 which when solving for x your will have two negative values but that is correct.

[@iSmartyPants1]

Mr. McLogan's Math Channel Do I move the x over to the left so there will only be one number?

[@redreaperop1631]

The first will be solved as 2x +5=x+4 2x -x =4-5 X = -1 And the second will be 2x +5 = -x -4 2x +x = -4 -5 3x = -11 X = -11/3 Probably

[@georgesbv1]

@@redreaperop1631 x=-3

[@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?

[@brianmclogan]

always use inverse operations so yes subtract in your case

[@nkosingphiledlamini3513]

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

[@derinalm1082]

no

[@derinalm1082]

absolute value cant equal zero

[@lu.thewriter]

So how do you know if its no solution

[@brianmclogan]

because the absolute value is always positive.

[@lu.thewriter]

ooh ok thank you

[@fernandosalazar9184]

I'm confused

[@brianmclogan]

okay, what is your question?