Using Substitutions to Solve Equations (Precalculus - College Algebra 23)

How to solve equations by using a substitution to change them into easy to work with quadratics.

[EvilMAiq]

I love that moment when it all comes together and I suddenly understand something I didn't just a moment ago.
Thanks again, prof.

[onurtas]

you are the man professor. You are not just like a superhero, You are THE ultimate superhero. Sir I will be your patreon as soon as I realize my dreams of becoming an expert in mathematics/mathematical physics and start earning my money I promise you I am sincere about this. For now to support you wholeheartedly, I almost never skip the ads on your videos !( those which I skipped I am sorry for. ads sometimes interrupt your great lectures. I have an deep interest and excitement for mathematics haha ) Anyway I am taking notes and focusing on your videos and my books. I hope we meet someday Greetings from Turkey ! :)

[teaspoons]

Just posting because I got a 100 on my Calc 3 final because of Professor Leonard! I’m kinda sad that calculus is over for me and he won’t be here next semester to help me through linear :( But this man helped me get through Calc 2/3 and turned me into someone who really loves math from someone who was terrified of it

[amreshyadav]

one of the best math educator, i had ever seen.
greetings from India, cheer's.

[mattdodgers]

Substitution always confused me until now. Thanks so much.

[fuadahmed]

Am just here to thank you for your lectures ... u really helped me a few years a go when i was struggling with biostatistics 🙏🙏🙏 from 🇪🇹 ethiopia

[stevenjohnson]

glad to see you safe and healthy amid the coronavirus pandemic. Thanks for taking the time to teach us mathematics.

[adrianneruz]

Not even once did any of my math teachers thought me this. Thank you for this! It’s very interesting!

[mohammedfathy]

professor leonard, I am Math teacher from Egypt, I am so happy to follow you.

[GoatzAreEpic]

the superhero of mathematics! Great job as always we love you

[FMDV]

Just took my last calc 3 test waiting on the score. Thank you for the all the help professor.

[JuanPabloMartinez-bm]

When I graduate I'll say "thank you for the one who made this possible, Leonard-sensei" hehe

[MohamedHassan-vjzp]

Thanks professor, the most generous teacher I have ever seen. Your work is really really appreciated

[georgesadler]

Professor Leonard, thank you for an outstanding lecture/video on Using Substitutions to Solve Quadratic Equations. This topic is fairly easy to follow from start to finish.

[ShantanuSingh-nukv]

I love u my dear leonard sir. I love very very mu h for helping to make maths from my most hated to most love subject. well i am class 11 students and I am going to complet eall the maths courses made by u

[prebenkarlsen]

I am preparing for my exam in calculus and this videos have been the best guide i could dream of, thank you, thank you, thank you<3

[HappyGardenOfLife]

I just failed calc 2 and so I'm back to learning the basics. I wish I had learned this before I took calculus.

[pfxqlqi]

9minutes 50seconds in and i made it. Now i need to lie down in a dark room. My attention span doesn't usually last that long.

[plamenyankov]

I've been waiting for that video for a while. Thank you! Are you back on track professor?

[ctw]

im going to need you to invest in some long sleeve shirts or hoodies or something because your biceps are making it very hard to focus on math