Solving a rational equation by factoring

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👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one of the ways is by multiplying all the individual rational expressions by the lowest common multiply (LCM) of the denominators. This eliminates the denominators and then we can evaluate the resulting equation accordingly.

It is very helpful to check your results by substituting them into the original equation to see if they are true. This also helps to identify the extraneous solutions. An extraneous solution is a solution that is obtained during the course of solving an equation but which does not hold true for the original equation.

Organized Videos:
✅ How to Solve Rational Equations
✅ How to Solve Rational Equations with Trinomials
✅ How to Solve Rational Equations with Binomials
✅ How to Solve Rational Equations with Monomials
✅ How to Solve Rational Equations with an Integer
✅ How to Solve Rational Equations | Learn About
✅ How to Solve Proportions with Binomials
✅ How to Solve Proportions with Trinomials

Connect with me:

#rationalfunctions #brianmclogan
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Parents would have a heart-attack watching Mr. McLogan bitting that dry erase marker after the COVID-19 world we find ourselves in, but my man's helped me figure out "Solving a Rational Equation with Factored Denominators and Stating Excluded Values" from 2.2 College Algebra on OpenStax in under 8 minutes.

All hail Mr. McLogan! One of the best math teachers around! I would share a dry erase marker to solve a math problem with Mr. McLogan any day. 10/10

rykuzrl
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im glad you're doing this for people you have helped a lot of people and you helped me out for my finals! THANK YOU!

SilentHunterdz
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I wonder n=-1/2 is an extraneous solution, but I might've screwed up in a process.

reinamaeda
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What if the other side of the equation is not the same like the one with the variable on the denominator

HansenTruongOnYT
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Got a test tomorrow on this
I thought I knew what I was doing last week then we started doing review yesterday and I lost
e v e r y t h I n g 💀

Yourcupofapplesauce
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what happened to the *-5n* at the end when you factorised 2n(sq) *-5n* -3 = 0
into (2n+1)=0 (n-3)=0

slightly confused on this one, also on the top right corner I can not really make out what's written because an object has made it obscure.
Many Thanks

ruqayyahdurrani
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Very slick Mr McLogan. Very sound maths teacher.

jonathanfanning
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What if I'm left with
-35x²+218x=0
What do I do next?

chillax
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Keep up the great work . You are a life saver 👏👏👏👏👏. Thank you

mercybanda
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8years later here I am benefiting from your videos. I hate modular math.

jujukelkel
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Some of the best teachers our on YouTube thank you.

Sir_Emo
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LITERALLY THE SAME PRACTICE PROBLEM IN MY BOOK!!!

lucianastevens
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Super genius, though If you are new to this type of problem you will get lost, it takes a whole 9 minutes to solve one problem, if you have 4 of this in an exam you wont finish before time,

Ee._ellaa
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I would have a blast learning math as a high school student being referred as "ladies and gentlemen" 😂

Raquel-vwzt